Solar System by apparent size: Difference between revisions

From NikkiWiki
Jump to navigation Jump to search
(Replaced content with "== maximum angular diameters == Maximum angular diameters of Solar System objects. <ol start="0"> <li>(34.142318167779726305388597288522 ± 0.0099504175490098189823746848993722)' ('''Terran Satellite Luna''')</li> <li>(32.549089711594099381629815789191 ± 0.0030383154609148420537653582447128)' ('''Star Sol''')</li> <li>(1.0905870349499817398048629211605 ± 0.00018025944492847952922209945619809)' ('''Planet Venus''')</li> <li>(50.115577292011611607058157849591 ± 0....")
Tag: Replaced
Line 1: Line 1:
== maximum angular diameter ==
== maximum angular diameters ==


Theoretical maximum angular diameters of Solar System objects.
Maximum angular diameters of Solar System objects.


# (34.142318167779726305388597288522 ± 0.0099504175490098189823746848993722)' ('''Terran Satellite Luna''')
<ol start="0">
# (32.549089711594099381629815789191 ± 0.0030383154609148420537653582447128)' ('''Star Sol''')
<li>(34.142318167779726305388597288522 ± 0.0099504175490098189823746848993722)' ('''Terran Satellite Luna''')</li>
# (1.0905870349499817398048629211605 ± 0.00018025944492847952922209945619809)' ('''Planet Venus''')
<li>(32.549089711594099381629815789191 ± 0.0030383154609148420537653582447128)' ('''Star Sol''')</li>
# (50.115577292011611607058157849591 ± 0.00072639900116543009038607598428538)" ('''Planet Jupiter''')
<li>(1.0905870349499817398048629211605 ± 0.00018025944492847952922209945619809)' ('''Planet Venus''')</li>
# (25.700544451492779197449676308284 ± 0.00089158765308439455528175641371082)" ('''Planet Mars''')
<li>(50.115577292011611607058157849591 ± 0.00072639900116543009038607598428538)" ('''Planet Jupiter''')</li>
# (20.710741843720512704721266748230 ± 0.0005166370410419963595958474095447)" ('''Planet Saturn''')
<li>(25.700544451492779197449676308284 ± 0.00089158765308439455528175641371082)" ('''Planet Mars''')</li>
# (13.028474261955706245938397191101 ± 0.00084298180037579706377958565685282)" ('''Planet Mercury''')
<li>(20.710741843720512704721266748230 ± 0.0005166370410419963595958474095447)" ('''Planet Saturn''')</li>
# (4.0813037952907347294343994483903 ± 0.0006389298287894383982434815333879)" ('''Planet Uranus''')
<li>(13.026519404358484128366613475607 ± 0.00068880719717083531267935096847384)" ('''Planet Mercury''')</li>
# (2.3717005756662317185122893669135 ± 0.0023358462167698838697425224493574)" ('''Planet Neptune''')
<li>(4.0813037952907347294343994483903 ± 0.0006389298287894383982434815333879)" ('''Planet Uranus''')</li>
# (1.8500081168516263639525877660944 ± 0.00021081697115976641880998036484687)" ('''Jovian Satellite Ganymede''')
<li>(2.3717005756662317185122893669135 ± 0.0023358462167698838697425224493574)" ('''Planet Neptune''')</li>
# (1.6950999034452036167094676830048 ± 0.0010549338656223241325822742019151)" ('''Jovian Satellite Callisto''')
<li>(1.8500081168516263639525877660944 ± 0.00021081697115976641880998036484687)" ('''Jovian Satellite Ganymede''')</li>
# (1.2758186006115165938918458891654 ± 0.000035409569728211189330416823094472)" ('''Jovian Satellite Io''')
<li>(1.6950999034452036167094676830048 ± 0.0010549338656223241325822742019151)" ('''Jovian Satellite Callisto''')</li>
# (1.0956010972639616311861538720115 ± 0.00035099902326891557679784173552623)" ('''Jovian Satellite Europa''')
<li>(1.2758186006115165938918458891654 ± 0.000035409569728211189330416823094472)" ('''Jovian Satellite Io''')</li>
# (0.92630435820787173323928340729414 ± 0.0059958010235239682526821091198236)" ('''Minor Planet Ceres''')
<li>(1.0956010972639616311861538720115 ± 0.00035099902326891557679784173552623)" ('''Jovian Satellite Europa''')</li>
# (0.88573281563080150908143581596940 ± 0.00003509052596514345590963105473037)" ('''Saturnian Satellite Titan''')
<li>(0.92630435820787173323928340729414 ± 0.0059958010235239682526821091198236)" ('''Minor Planet Ceres''')</li>
# (0.75246410914813015641116728905938 ± 0.016972874643896973338196523745709)" ('''Minor Planet Pallas''')
<li>(0.88573281563080150908143581596940 ± 0.00003509052596514345590963105473037)" ('''Saturnian Satellite Titan''')</li>
# (0.69117155722191649628751546195186 ± 0.00012417891897229293892065704030910)" ('''Minor Planet Vesta''')
<li>(0.75246410914813015641116728905938 ± 0.016972874643896973338196523745709)" ('''Minor Planet Pallas''')</li>
 
<li>(0.69117155722191649628751546195186 ± 0.00012417891897229293892065704030910)" ('''Minor Planet Vesta''')</li>
''Angular diameters of triaxial ellipsoids are calculated with the middle radius (second equatorial radius).''
</ol>
 
== data ==
 
=== Sol ===
 
Star Sol (☉︎).
 
* <var>d</var><sub>max</sub> = (1.5209124024768575482050243603340E11 ± 1000.0000049665280877186631511073) m = <var>α</var><sub>🜨</sub> − <var>r</var><sub>min,🜨</sub>
* <var>d</var><sub>min</sub> = (1.4709206461346995481837104955408E11 ± 2236.0679886951370999630683009086) m = <var>π</var><sub>🜨</sub> − <var>r</var><sub>max,🜨</sub>
* <var>f</var> = 0.00005
* <var>r</var><sub>e</sub> = (696342 ± 65) km
* <var>r</var><sub>p</sub> = (6.9630718290E8 ± 65368.698385839839208114704073318) m = −(<var>f</var> − 1)<var>r</var><sub>e</sub>
 
=== Jupiter ===
 
Planet Jupiter (♃).
 
* <var>a</var> = 778.479E6 km
* <var>α</var> = 816.363E6 km
* <var>d</var><sub>max</sub> = (8.3040452153756847292476118693122E11 ± 983083.23687899791494756689430665) m = <math>\sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus}</math>
* <var>d</var><sub>min</sub> = (5.8849101861346995481837104955408E11 ± 2.2360682011065874613956858897782E6) m = <var>π</var> − <var>α</var><sub>🜨</sub> − <var>r</var><sub>max,🜨</sub>
* <var>π</var> = (7.40595E11 ± 2.2360679774997896964091736687313E6) m = 2<var>a</var> − <var>α</var>
* <var>r</var> = (69911 ± 6) km
* <var>r</var><sub>e</sub> = 71492 km
* <var>r</var><sub>p</sub> = (6.6749E7 ± 18110.770276274833253147616333968) m = 3<var>r</var> − 2<var>r</var><sub>e</sub>
 
=== Saturn ===
 
Planet Saturn (♄).
 
* <var>a</var> = 1433.53E6 km
* <var>α</var> = 1514.50E6 km
* <var>d</var><sub>max</sub> = (1.5221118807749727292166867603896E12 ± 9.9499497656418012341204540508955E6) m = <math>\sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus}</math>
* <var>d</var><sub>min</sub> = (1.2004560186134699548183710495541E12 ± 2.2360679797358577847444035813535E7) m = <var>π</var> − <var>α</var><sub>🜨</sub> − <var>r</var><sub>max,🜨</sub>
* <var>π</var> = (1.35256E12 ± 2.2360679774997896964091736687313E7) m = 2<var>μ</var> − <var>α</var>
* <var>r</var> = (58232 ± 6) km
* <var>r</var><sub>e</sub> = 60268 km
* <var>r</var><sub>p</sub> = (5.416E7 ± 18110.770276274833253147616333968) m = 3<var>r</var> − 2<var>r</var><sub>e</sub>
 
=== Uranus ===
 
Planet Uranus (⛢).
 
* <var>α</var> = 3.00639E9 km
* <var>d</var><sub>max</sub> = (3.0102286027007139677246575761559E12 ± 9.9872270455085920399321427528095E6) m = <math>\sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus}</math>
* <var>d</var><sub>min</sub> = (2.5834500186134699548183710495541E12 ± 1.0198039076214605781486501623154E7) m = <var>π</var> − <var>α</var><sub>🜨</sub> − <var>r</var><sub>max,🜨</sub>
* <var>μ</var> = 2.870972E9 km
* <var>π</var> = (2.735554E12 ± 1.0198039027185569660056448218046E7) m = 2<var>a</var> − <var>α</var>
* <var>r</var> = (25362 ± 7) km
* <var>r</var><sub>e</sub> = (25559 ± 4) km
* <var>r</var><sub>p</sub> = (2.4968E7 ± 22472.205054244231864598140445491) m = 3<var>r</var> − 2<var>r</var><sub>e</sub>
 
=== Neptune ===
 
Planet Neptune (♆).
 
* <var>μ</var> = (4.498407971949E12 ± 1.495978707E9) m = 30.07 AU
* <var>α</var> = (4.537303418331E12 ± 1.495978707E9) m = 30.33 AU
* <var>d</var><sub>max</sub> = (4.5398456220033094562651791221215E12 ± 1.4951389016172299508184560415022E9) m = <math>\sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus}</math>
* <var>d</var><sub>min</sub> = (4.3074085441804699548183710495541E12 ± 3.345110081744389954725670911498E9) m = <var>π</var> − <var>α</var><sub>🜨</sub> − <var>r</var><sub>max,🜨</sub>
* <var>π</var> = (4.459512525567E12 ± 3.3451100817442404828061181678871E9) m = 2<var>μ</var> − <var>α</var>
* <var>r</var> = (24622 ± 19) km
* <var>r</var><sub>e</sub> = (24764 ± 15) km
* <var>r</var><sub>p</sub> = (2.4338E7 ± 64412.731660751665407629096343117) m = 3<var>r</var> − 2<var>r</var><sub>e</sub>
 
=== Terra ===
 
Planet Terra (🜨).
 
* <var>a</var> = 152097597 km
* <var>f</var> = 0.0033528106647474807198455286185206 ± 1.1241339353644443553823696996327E-14 = 298.257223563<sup>−1</sup>
* <var>h</var> = +6263.47 m
* <var>μ</var> = 149598023 km
* <var>φ</var> = −(0.025641801411647532015402479952681 ± 1.7453292519943295769236907684886E-8)<sup>r</sup> = −1.469167°
* <var>π</var> = (1.47098449E11 ± 2236.0679774997896964091736687313) m = 2<var>a</var> − <var>α</var>
* <var>r</var><sub>e</sub> = 6378.1370 km
* <var>r</var><sub>max</sub> = (6.3843865300451816289504459171215E6 ± 0.22375682286241097235424315226049) m = <math>\sqrt{\frac{(\cos[\phi]r_\mathrm{e}^2)^2+(\sin[\phi]r_\mathrm{p}^2)^2}{(\cos[\phi]r_\mathrm{e})^2+(\sin[\phi]r_\mathrm{p})^2}}+h</math>
* <var>r</var><sub>min</sub> = <var>r</var><sub>p</sub> = (6.3567523142451794975639665996337E6 ± 0.099664718933551041988577273088083) m = −(<var>f</var> − 1)<var>r</var><sub>e</sub>
 
=== Venus ===
 
Planet Venus (♀).
 
* <var>α</var> = (1.089391142160591E11 ± 149597.8707) m = 0.728213 AU
* <var>d</var><sub>max</sub> = (1.870802799146427534302927598549E11 ± 87113.48681909334117679296878281) m = <math>\sqrt{\alpha_\oplus^2+\alpha^2}-r_{\mathrm{min},\oplus}</math>
* <var>d</var><sub>min</sub> = (3.8152950397410854818371049554083E10 ± 149614.58123466437589632427285545) m = <var>π</var><sub>🜨</sub> − <var>α</var> − <var>r</var><sub>max,🜨</sub>
* <var>m</var> = (4867.5 ± 0.2)E21 kg
* <var>P</var> = (2.099715264E7 ± 8.64) s = 243.0226 d
* <var>r</var> = (6051.8 ± 1.0) km
* <var>r</var><sub>e</sub> = (6.0518001540473630205875615870764E6 ± 1000.0000254548036656428002788472) m = <math>r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right)</math>
* <var>r</var><sub>p</sub> = (6.0517996919052739588248768258477E6 ± 999.99994909041031947990077251405) m = <math>r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right)</math>
 
=== Mars ===
 
Planet Mars (♂).
 
* <var>a</var> = 227939366 km
* <var>α</var> = 249261000 km
* <var>d</var><sub>max</sub> = (2.9199488491315266555386091295679E11 ± 853630.09069014407544073581189223) m = <math>\sqrt{\alpha^2+\alpha_\oplus^2}-r_{\mathrm{min},\oplus}</math>
* <var>d</var><sub>min</sub> = (5.4513750613469954818371049554083E10 ± 1.0000024999969000413077806658572E6) m = <var>π</var> − <var>α</var><sub>🜨</sub> − <var>r</var><sub>max,🜨</sub>
* <var>π</var> = (2.06617732E11 ± 1.000001999998000003999990000028E6) m = 2<var>a</var> − <var>α</var>
* <var>r</var><sub>e</sub> = (3396.2 ± 0.1) km
* <var>r</var><sub>p</sub> = (3376.2 ± 0.1) km
 
=== Ganymede ===
 
Jovian Satellite Ganymede.
 
* <var>α</var> = 1071600 km
* <var>d</var><sub>max</sub> = (8.3040521296328458309859346113621E11 ± 983082.42679762933185648526445380) m = <math>\sqrt{d_{\mathrm{max},\text{♃}}^2+\alpha^2}</math>
* <var>d</var><sub>min</sub> = (5.8741941861346995481837104955408E11 ± 2.2383031519434649777754012812165E6) m = <var>d</var><sub>min,♃</sub> − <var>α</var>
* <var>m</var> = 1.4819E23 kg
* <var>P</var> = (618153.375744 ± 0.000864) s = 7.15455296 d
* <var>r</var> = (2634.1 ± 0.3) km
* <var>r</var><sub>e</sub> = (2.6343095368525535298979659694619E6 ± 300.02387325122667051910573765993) m = <math>r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right)</math>
* <var>r</var><sub>p</sub> = (2.633680926294892940204068061076E6 ± 299.95230697848851864627090169826) m = <math>r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right)</math>
 
=== Titan ===
 
Saturnian Satellite Titan.
 
* <var>α</var> = 1257060 km
* <var>d</var><sub>max</sub> = (1.5221123998562551609898862188965E12 ± 9.9499463724446444116131543055962E6) m = <math>\sqrt{d_{\mathrm{max},\text{♄}}^2+\alpha^2}</math>
* <var>d</var><sub>min</sub> = (1.1991989586134699548183710495541E12 ± 2.2360682033426441307778286882709E7) m = <var>d</var><sub>min,♄</sub> − <var>α</var>
* <var>m</var> = (1.3452 ± 0.0002)E23 kg
* <var>P</var> = (1.377648E6 ± 86.4) s = 15.945 d
* <var>r</var> = (2574.73 ± 0.09) km
* <var>r</var><sub>e</sub> = (2.5747724234666186838664982852257E6 ± 90.001483410749923414670832269485) m = <math>r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right)</math>
* <var>r</var><sub>p</sub> = (2.5746451530667626322670034295487E6 ± 89.997036138514569812319048989816) m = <math>r\left(1-\frac{10\pi_0^2r^3}{3GmP^2}\right)</math>
 
=== Mercury ===
 
Planet Mercury (☿).
 
* <var>α</var> = (6.98168774620779E10 ± 149597.8707) m = 0.466697 AU
* <var>d</var><sub>max</sub> = (1.6734977666301418756594260051672E11 ± 62415.182506291192588780899987149) m = <math>\sqrt{\alpha_\oplus^2+\alpha^2}-r_{\mathrm{min},\oplus}</math>
* <var>d</var><sub>min</sub> = (7.7275187151392054818371049554083E10 ± 149614.58123466437589632427285545) m = <var>π</var><sub>🜨</sub> − <var>α</var> − <var>r</var><sub>max,🜨</sub>
* <var>f</var> = 0.0009
* <var>r</var> = (2439.4 ± 0.1) km
* <var>r</var><sub>e</sub> = (2.4401320396118835650695208562569E6 ± 128.94107593360680125894955284279) m = <math>\frac{-3r}{f-3}</math>
* <var>r</var><sub>p</sub> = (2.4379359207762328698609582874862E6 ± 275.93175206073380774470281441497) m = <math>\frac{3(f-1)r}{f-3}</math>
 
=== Callisto ===
 
Jovian Satellite Callisto.
 
* <var>α</var> = 1897000 km
* <var>d</var><sub>min</sub> = (5.8659401861346995481837104955408E11 ± 2.4494899469073250448631436724676E6) m = <var>d</var><sub>min,♃</sub> − <var>α</var>
* <var>m</var> = (1.075938 ± 0.000137)E23 kg
* <var>P</var> = (1.44193118976E6 ± 0.00864) s = 16.6890184 d
* <var>r</var> = (2410.3 ± 1.5) km
* <var>r</var><sub>e</sub> = (2.4103371835504931845570782568187E6 ± 1500.0231420222554972182057151537) m = <math>r\left(1+\frac{5\pi_0^2r^3}{3GmP^2}\right)</math>
 
=== Io ===
 
Jovian Satellite Io.
 
* <var>α</var> = 423400 km
* <var>D</var><sub>min</sub> = (5.8806761861346995481837104955408E11 ± 2.2383031519434649777754012812165E6) m = <var>d</var><sub>min,Jupiter</sub> − <var>α</var>
* <var>r</var><sub>e,<var>b</var></sub> = (1.8187E6 ± 50) m = (3637.4 km)/2
 
=== Luna ===
 
Terran Satellite Luna.
 
* <var>D</var><sub>min</sub> = (3.5001561346995481837104955408288E8 ± 100000.00000025033557888708846853) m = <var>π</var><sub>min</sub> − <var>r</var><sub>max,0</sub>
* <var>π</var><sub>min</sub> = 356400 km
* <var>r</var><sub>e</sub> = 1738.1 km
 
=== Europa ===
 
Jovian Satellite Europa.
 
* <var>α</var> = 676938 km
* <var>D</var><sub>min</sub> = (5.8781408061346995481837104955408E11 ± 2.2360684247133516703616997354357E6) m = <var>d</var><sub>min,Jupiter</sub> − <var>α</var>
* <var>m</var> = 4.79984E22 kg
* <var>P</var> = (306822.0384 ± 0.0864) s = 3.551181 d
* <var>r</var> = (1560.8 ± 0.5) km
* <var>r</var><sub>e</sub> = (1.5611236919764961281816837445995E6 ± 500.10379105762958101929535520387) m = <var>r</var>([5<var>n</var><sub><var>π</var></sub><sup>2</sup><var>r</var><sup>3</sup>/{3<var>Gm</var><var>P</var><sup>2</sup>}] + 1)
 
=== Triton ===
 
Neptunian Satellite Triton.
 
* <var>α</var> = (3.54764676144E8 ± 1061.077729639539649875635565355) m = (<var>e</var> + 1)<var>μ</var>
* <var>D</var><sub>min</sub> = (4.3070537795043259548183710495541E12 ± 3.3451100817445582430511405849429E9) m = <var>d</var><sub>min,Neptune</sub> − <var>α</var>
* <var>δ</var><sub>e,max</sub> = (0.12964301445610937405886506320230 ± 0.00013255405415211872345259729107566)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>e</var> = 0.000016
* <var>m</var> = (2.1389 ± 0.0028)E22 kg
* <var>μ</var> = 354759 km
* <var>P</var> = (507760.1856 ± 0.0864) s = 5.876854 d
* <var>r</var> = (1353.4 ± 0.9) km
* <var>r</var><sub>e</sub> = (1.3535499476595055629104446323691E6 ± 900.09978509397542743014661489434) m = <var>r</var>([5<var>n</var><sub><var>π</var></sub><sup>2</sup><var>r</var><sup>3</sup>/{3<var>Gm</var><var>P</var><sup>2</sup>}] + 1)
 
=== Pluto ===
 
Minor Planet Pluto.
 
* <var>α</var> = 7.37593E9 km
* <var>D</var><sub>min</sub> = (4.2847260186134699548183710495541E12 ± 2.2360679797358577847444035813535E7) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>δ</var><sub>e,max</sub> = (0.11442039523774482823901011264408 ± 0.000077033637152452133799197524223804)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>m</var> = (1.3025 ± 0.0006)E22 kg
* <var>μ</var> = 5.90638E9 km
* <var>P</var> = (551856.672 ± 0.0864) s = 6.387230 d
* <var>π</var> = (4.43683E12 ± 2.2360679774997896964091736687313E7) m = 2<var>μ</var> − <var>α</var>
* <var>r</var> = (1188.3 ± 0.8) km
* <var>r</var><sub>e</sub> = (1.1884238844601665333822436493119E6 ± 800.08344398125573239541609846271) m = <var>r</var>([5<var>n</var><sub><var>π</var></sub><sup>2</sup><var>r</var><sup>3</sup>/{3<var>Gm</var><var>P</var><sup>2</sup>}] + 1)
 
=== Titania ===
 
Uranian Satellite Titania.
 
* <var>α</var> = (4.363895010E8 ± 44725.780060273962761153068913132) m = (<var>e</var> + 1)<var>μ</var>
* <var>D</var><sub>min</sub> = (2.5830136291124699548183710495541E12 ± 1.0198137153196266465042571925247E7) m = <var>d</var><sub>min,Uranus</sub> − <var>α</var>
* <var>δ</var><sub>e,max</sub> = (0.12592207643833554251135657615094 ± 0.000095832468162855897894667048059053)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>e</var> = 0.0011
* <var>m</var> = (3.4550 ± 0.0509)E21 kg
* <var>μ</var> = 435910 km
* <var>P</var> = (752218.6176 ± 0.0864) s = 8.706234 d
* <var>r</var> = (788.4 ± 0.6) km
* <var>r</var><sub>e</sub> = (788448.70718447305101466061189134 ± 600.03750723732683370355217787133) m = <var>r</var>([5<var>n</var><sub><var>π</var></sub><sup>2</sup><var>r</var><sup>3</sup>/{3<var>Gm</var><var>P</var><sup>2</sup>}] + 1)
 
=== Rhea ===
 
Saturnian Satellite Rhea.
 
* <var>α</var> = (5.277712599964E8 ± 1002.6448083721024284511827755561) m = (<var>e</var> + 1)<var>μ</var>
* <var>D</var><sub>min</sub> = (1.1999282473534735548183710495541E12 ± 2.2360679819837693428021622512036E7) m = <var>d</var><sub>min,Uranus</sub> − <var>α</var>
* <var>δ</var><sub>e,<var>b</var>,max</sub> = (0.26224700443933629069282618928564 ± 0.000017870938636195757578407958897337)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>e</var> = 0.0012583
* <var>μ</var> = 527108 km
* <var>r</var><sub>e,<var>b</var></sub> = (762800 ± 50) m = (1525.6 km)/2
 
=== Iapetus ===
 
Saturnian Satellite Iapetus.
 
* <var>α</var> = (3.659387770584E9 ± 10282.979105009792832064687157625) m = (<var>e</var> + 1)<var>μ</var>
* <var>D</var><sub>min</sub> = (1.1967966308428859548183710495541E12 ± 2.2360682161769111021879173825542E7) m = <var>d</var><sub>min,Saturn</sub> − <var>α</var>
* <var>δ</var><sub>e,max</sub> = (0.25714234397864741689302828177689 ± 0.000017891855224446917628298178731762)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>e</var> = 0.0276812
* <var>μ</var> = 3560820 km
* <var>r</var><sub>e</sub> = (746000 ± 50) m = (1492.0 km)/2
 
=== Ceres ===
 
Minor Planet Ceres.
 
* <var>D</var><sub>min</sub> = (2.1421333263914595481837104955408E11 ± 1.3858488689381482206124694225818E9) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>e</var> = 0.116
* <var>μ</var> = (4.14386101839E11 ± 1.495978707E9) m = 2.77 AU
* <var>π</var> = (3.66317314025676E11 ± 1.3858488689377874308927240594534E9) m = (1 − <var>e</var>)<var>μ</var>
* <var>r</var><sub>e,<var>b</var></sub> = (481000 ± 100) m = ([962.0 ± 0.2] km)/2
 
=== Vesta ===
 
Minor Planet Vesta.
 
* <var>D</var><sub>min</sub> = (1.6628396935615610701237104955408E11 ± 1.3937551864984601676427401574957E6) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>e</var> = 0.098758
* <var>μ</var> = (3.53276867636757E11 ± 1.495978707E6) m = 2.36151 AU
* <var>π</var> = (3.18387950742686152194E11 ± 1.3937548277553363927812064795903E6) m = (1 − <var>e</var>)<var>μ</var>
* <var>r</var><sub>e,<var>b</var></sub> = (278600 ± 50) m = (557.2 km)/2
 
=== Pallas ===
 
Minor Planet Pallas.
 
* <var>D</var><sub>min</sub> = (1.4583137665894186108381104955408E11 ± 42835.810460907372898385327366829) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>e</var> = 0.2812580
* <var>μ</var> = (4.1452337284515432E11 ± 14959.78707) m = 2.7709176 AU
* <var>π</var> = (2.9793535804547190626544E11 ± 42824.136392841763911853830943063) m = (1 − <var>e</var>)<var>μ</var>
* <var>r</var><sub>e,<var>b</var></sub></sub> = (266000 ± 6000) m = ([532 ± 12] km)/2
 
=== Hygiea ===
 
Minor Planet Hygiea.
 
* <var>D</var><sub>min</sub> = (2.5416712890433203721837104955408E11 ± 4.7018145369079983416485072354168E7) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>δ</var><sub>e,<var>b</var>,max</sub> = (0.34895884085642794334252320577349 ± 0.0081155786230332483023028347131361)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>e</var> = 0.1356
* <var>μ</var> = (4.7000359820784600E11 ± 1.495978707E6) m = 3.14178 AU
* <var>π</var> = (4.06271110290862082400E11 ± 4.7018145358445790571037145847674E7) m = (1 − <var>e</var>)<var>μ</var>
* <var>r</var><sub>e,<var>b</var></sub></sub> = (215000 ± 5000) m = ([430 ± 10] km)/2
 
=== Interamnia ===
 
Minor Planet Interamnia.
 
* <var>α</var> = 528 Gm
* <var>D</var><sub>min</sub> = (2.3429601861346995481837104955408E11 ± 1.0198039027190472563680375871356E9) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>δ</var><sub>e,<var>b</var>,max</sub> = (0.30636522549030376051566194015575 ± 0.0071680086934872835122149192626709)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>μ</var> = 457.2 Gm
* <var>π</var> = (3.864E11 ± 1.0198039027185569660056448218046E9) m = 2<var>μ</var> − <var>α</var>
* <var>r</var><sub>e,<var>b</var></sub></sub> = (174000 ± 4000) m = ([348 ± 8] km)/2
 
=== Davida ===
 
Minor Planet Davida.
 
* <var>α</var> = (5.623383959613E11 ± 1.495978707E8) m = 3.759 AU
* <var>D</var><sub>min</sub> = (2.3191375270036995481837104955408E11 ± 3.3451100817591876747613594681338E8) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>δ</var><sub>e,<var>b</var>,max</sub> = (0.26148450590163578376496130902861 ± 0.0018183519488171012974178530212999)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>μ</var> = (4.731780650241E11 ± 1.495978707E8) m = 3.163 AU
* <var>π</var> = (3.840177340869E11 ± 3.3451100817442404828061181678871E8) m = 2<var>μ</var> − <var>α</var>
* <var>r</var><sub>e,<var>b</var></sub></sub> = (147000 ± 1000) m = ([294 ± 2] km)/2
 
=== Eunomia ===
 
Minor Planet Eunomia.
 
* <var>α</var> = 469 Gm
* <var>D</var><sub>min</sub> = (1.6996955887506995481837104955408E11 ± 1.0437998331446962221295594512127E9) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>δ</var><sub>e,<var>b</var>,max</sub> = (0.30945262164076352844160432509796 ± 0.018302025092013898866195236722060)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>μ</var> = (3.955367701308E11 ± 1.495978707E8) m = 2.644 AU
* <var>π</var> = (3.220735402616E11 ± 1.0437998331442172030598520886818E9) m = 2<var>μ</var> − <var>α</var>
* <var>r</var><sub>e,<var>b</var></sub></sub> = (127500 ± 7500) m = ([255 ± 15] km)/2
 
=== Juno ===
 
Minor Planet Juno.
 
* <var>D</var><sub>min</sub> = (1.4489601861346995481837104955408E11 ± 1.0000000000500000025021057887489E8) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>δ</var><sub>p,max</sub> = (0.35588418546778994157428432646140 ± 0.0071219202030624044772353466753741)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>π</var> = 297.0 Gm
* <var>r</var><sub>e,<var>b</var></sub> = (125000 ± 2500) m = ([250 ± 5] km)/2
 
=== Bamberga ===
 
Minor Planet Bamberga.
 
* <var>α</var> = 537.718 Gm
* <var>D</var><sub>min</sub> = (1.1271601861346995481837104955408E11 ± 2.2360682011065874613956858897782E6) m = <var>π</var> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub>
* <var>δ</var><sub>p,max</sub> = (0.41539890775119500822400183187286 ± 0.0054898595913885011434361461216848)" = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>)
* <var>μ</var> = 401.269 Gm
* <var>π</var> = (2.6482E11 ± 2.2360679774997896964091736687313E6) m = 2<var>μ</var> − <var>α</var>
* <var>r</var> = (113500 ± 1500) m = ([227 ± 3] km)/2
 
== formulae ==
 
* <var>δ</var><sub>p,max</sub> = 2asin(<var>r</var><sub>p</sub>/<var>d</var><sub>min</sub>) = maximum polar angular diameter
* <var>d</var><sub>min,S,0</sub> = <var>π</var><sub>S,0</sub> − <var>r</var><sub>max,0</sub> = minimum distance of Terran satellite
* <var>d</var><sub>min,P,inf</sub> = <var>π</var><sub>0</sub> − <var>α</var><sub>P,inf</sub> − <var>r</var><sub>max,0</sub> = minimum distance of inferior planet
* <var>d</var><sub>min,P,sup</sub> = <var>π</var><sub>P,sup</sub> − <var>α</var><sub>0</sub> − <var>r</var><sub>max,0</sub> = minimum distance of superior planet
* <var>d</var><sub>min,S,sup</sub> = <var>d</var><sub>min,P,sup</sub> − <var>α</var><sub>S,sup</sub> = minimum distance of superior satellite
 
== constants ==
 
* <var>G</var> = 6.67430 × 10<sup>−11</sup> N·m<sup>2</sup>/kg<sup>2</sup> = gravitational constant


[[category:astronomy]]
[[category:astronomy]]

Revision as of 09:22, 9 June 2024

maximum angular diameters

Maximum angular diameters of Solar System objects.

  1. (34.142318167779726305388597288522 ± 0.0099504175490098189823746848993722)' (Terran Satellite Luna)
  2. (32.549089711594099381629815789191 ± 0.0030383154609148420537653582447128)' (Star Sol)
  3. (1.0905870349499817398048629211605 ± 0.00018025944492847952922209945619809)' (Planet Venus)
  4. (50.115577292011611607058157849591 ± 0.00072639900116543009038607598428538)" (Planet Jupiter)
  5. (25.700544451492779197449676308284 ± 0.00089158765308439455528175641371082)" (Planet Mars)
  6. (20.710741843720512704721266748230 ± 0.0005166370410419963595958474095447)" (Planet Saturn)
  7. (13.026519404358484128366613475607 ± 0.00068880719717083531267935096847384)" (Planet Mercury)
  8. (4.0813037952907347294343994483903 ± 0.0006389298287894383982434815333879)" (Planet Uranus)
  9. (2.3717005756662317185122893669135 ± 0.0023358462167698838697425224493574)" (Planet Neptune)
  10. (1.8500081168516263639525877660944 ± 0.00021081697115976641880998036484687)" (Jovian Satellite Ganymede)
  11. (1.6950999034452036167094676830048 ± 0.0010549338656223241325822742019151)" (Jovian Satellite Callisto)
  12. (1.2758186006115165938918458891654 ± 0.000035409569728211189330416823094472)" (Jovian Satellite Io)
  13. (1.0956010972639616311861538720115 ± 0.00035099902326891557679784173552623)" (Jovian Satellite Europa)
  14. (0.92630435820787173323928340729414 ± 0.0059958010235239682526821091198236)" (Minor Planet Ceres)
  15. (0.88573281563080150908143581596940 ± 0.00003509052596514345590963105473037)" (Saturnian Satellite Titan)
  16. (0.75246410914813015641116728905938 ± 0.016972874643896973338196523745709)" (Minor Planet Pallas)
  17. (0.69117155722191649628751546195186 ± 0.00012417891897229293892065704030910)" (Minor Planet Vesta)
Retrieved from "https://www.nicolesharp.net/w/index.php?title=Solar_System_by_apparent_size&oldid=180"