Solar System by polar radius: Difference between revisions

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<li>'''Jovian Satellite II Europa''': <math>\bar{r}</math> = (1.5608E6 ± 5E2) m = (1560.8 ± 0.5) km; <var>r</var><sub>e</sub> = 1.5611236919764961281816837445995E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.5601526160470077436366325108010E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Jovian Satellite II Europa''': <math>\bar{r}</math> = (1.5608E6 ± 5E2) m = (1560.8 ± 0.5) km; <var>r</var><sub>e</sub> = 1.5611236919764961281816837445995E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.5601526160470077436366325108010E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Neptunian Satellite I Triton''': <math>\bar{r}</math> = (1.3534E6 ± 9E2) m = (1353.4 ± 0.9) km; <var>r</var><sub>e</sub> = 1.3535499400913007069568216942597E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.3531001198173985860863566114806E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Neptunian Satellite I Triton''': <math>\bar{r}</math> = (1.3534E6 ± 9E2) m = (1353.4 ± 0.9) km; <var>r</var><sub>e</sub> = 1.3535499400913007069568216942597E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.3531001198173985860863566114806E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Minor Planet 134340 Pluto''': <math>\bar{r}</math> = (1.1883E6 ± 8E2) m = (1188.3 ± 0.8) km</li>
<li>'''Minor Planet 134340 Pluto''': <math>\bar{r}</math> = (1.1883E6 ± 8E2) m = (1188.3 ± 0.8) km; <var>r</var><sub>e</sub> = 1.1884238844601665333822436493119E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.1880522310796669332355127013762E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Minor Planet 136199 Eris''': <math>\bar{r}</math> = (1.163E6 ± 6E3) m = (1163 ± 6) km</li>
<li>'''Minor Planet 136199 Eris''': <math>\bar{r}</math> = (1.163E6 ± 6E3) m = (1163 ± 6) km; <var>r</var><sub>e</sub> = 1.1630147197975619502929207033168E6 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 1.1629705604048760994141585933664E6 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Uranian Satellite III Titania''': <math>\bar{r}</math> = (7.884E5 ± 6E2) m = (788.4 ± 0.6) km</li>
<li>'''Uranian Satellite III Titania''': <math>\bar{r}</math> = (7.884E5 ± 6E2) m = (788.4 ± 0.6) km; <var>r</var><sub>e</sub> = 7.8844870718447305101466061189134E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 7.883025856310538979706787762173E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Saturnian Satellite V Rhea''': <math>\bar{r}</math> = (7.635E5 ± 5E2) m = (763.5 ± 0.5) km; <math>r_{\mathrm{e}_a}</math> = 7.662E5 m = (1532.4/2) km; <math>r_{\mathrm{e}_b}</math> = 7.628E5 m = (1525.6/2) km; <var>r</var><sub>p</sub> = 7.615E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Saturnian Satellite V Rhea''': <math>\bar{r}</math> = (7.635E5 ± 5E2) m = (763.5 ± 0.5) km; <math>\bar{r}_\mathrm{e}</math> = 7.645E5 m; <math>r_{\mathrm{e}_a}</math> = 7.662E5 m = (1532.4/2) km; <math>r_{\mathrm{e}_b}</math> = 7.628E5 m = (1525.6/2) km; <var>r</var><sub>p</sub> = 7.615E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Uranian Satellite IV Oberon''': <math>\bar{r}</math> = (7.614E5 ± 2.6E3) m = (761.4 ± 2.6) km</li>
<li>'''Uranian Satellite IV Oberon''': <math>\bar{r}</math> = (7.614E5 ± 2.6E3) m = (761.4 ± 2.6) km; <var>r</var><sub>e</sub> = 7.6141968120770514618407674466361E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 7.613606375845897076318465106728E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Saturnian Satellite VIII Iapetus''': <math>\bar{r}</math> = (7.356E5 ± 1.5E3) m = (735.6 ± 1.5) km; <var>r</var><sub>e</sub> = 7.460E5 m = (1492.0/2) km/2; <var>r</var><sub>p</sub> = 7.148E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Saturnian Satellite VIII Iapetus''': <math>\bar{r}</math> = (7.356E5 ± 1.5E3) m = (735.6 ± 1.5) km; <var>r</var><sub>e</sub> = 7.460E5 m = (1492.0/2) km/2; <var>r</var><sub>p</sub> = 7.148E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Minor Planet 136472 Makemake''': <math>\bar{r}</math> = (7.1466666666666666666666666666667E5 ± 1.6492422502470642199285639423896E4) m = <math>\frac {2r_\mathrm{e} + r_\mathrm{p}} {3}</math>; <var>r</var><sub>e</sub> = (7.17E5 ± 2.4E4) m = ([1434 ± 48] km)/2; <var>r</var><sub>p</sub> = (7.10E5 ± 1.2E4) m = ([1420 ± 24] km)/2</li>
<li>'''Minor Planet 136472 Makemake''': <math>\bar{r}</math> = (7.1466666666666666666666666666667E5 ± 1.6492422502470642199285639423896E4) m = <math>\frac {2r_\mathrm{e} + r_\mathrm{p}} {3}</math>; <var>r</var><sub>e</sub> = (7.17E5 ± 2.4E4) m = ([1434 ± 48] km)/2; <var>r</var><sub>p</sub> = (7.10E5 ± 1.2E4) m = ([1420 ± 24] km)/2</li>
<li>'''Minor Planet 225088 Gonggong''': <math>\bar{r}</math> = (6.15E5 ± 2.5E4) m = (615 ± 25) km; <var>r</var><sub>e</sub> = 6.1643835616438356164383561643836E5 m = <math>\frac {-3\bar{r}} {f - 3}</math>; <var>r</var><sub>p</sub> = 6.121232876712328767123287671233E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Minor Planet 225088 Gonggong''': <math>\bar{r}</math> = (6.15E5 ± 2.5E4) m = (615 ± 25) km; <var>r</var><sub>e</sub> = 6.1643835616438356164383561643836E5 m = <math>\frac {-3\bar{r}} {f - 3}</math>; <var>r</var><sub>p</sub> = 6.121232876712328767123287671233E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Plutonian Satellite I Charon''': <math>\bar{r}</math> = (6.060E5 ± 5E2) m = (606.0 ± 0.5) km</li>
<li>'''Plutonian Satellite I Charon''': <math>\bar{r}</math> = (6.060E5 ± 5E2) m = (606.0 ± 0.5) km; <var>r</var><sub>e</sub> = (6.0606865413970536945675888781037E5 ± 5.0005671197122533062575234989123E2) m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = (6.058626917205892610864822243793E5 ± 1.8028385564852699931159110236698E3) m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Uranian Satellite II Umbriel''': <math>\bar{r}</math> = (5.847E5 ± 2.8E3) m = (584.7 ± 2.8) km</li>
<li>'''Uranian Satellite II Umbriel''': <math>\bar{r}</math> = (5.847E5 ± 2.8E3) m = (584.7 ± 2.8) km; <var>r</var><sub>e</sub> = 5.8487439087043772520442710000016E5 m = <math>\left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r}</math>; <var>r</var><sub>p</sub> = 5.843512182591245495911457999997E5 m = <math>3\bar{r} - 2r_\mathrm{e}</math></li>
<li>'''Uranian Satellite I Ariel''': <math>\bar{r}</math> = (5.789E5 ± 6E2) m = (578.9 ± 0.6) km; <math>r_{\mathrm{e}_a}</math> = 5.811E5 m = (1162.2 km)/2; <math>r_{\mathrm{e}_b}</math> = 5.779E5 m = (1155.8 km)/2; <var>r</var><sub>p</sub> = 5.777E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Uranian Satellite I Ariel''': <math>\bar{r}</math> = (5.789E5 ± 6E2) m = (578.9 ± 0.6) km; <math>\bar{r}_\mathrm{e}</math> = 5.795E5 m; <math>r_{\mathrm{e}_a}</math> = 5.811E5 m = (1162.2 km)/2; <math>r_{\mathrm{e}_b}</math> = 5.779E5 m = (1155.8 km)/2; <var>r</var><sub>p</sub> = 5.777E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Saturnian Satellite IV Dione''': <math>\bar{r}</math> = (5.614E5 ± 4E2) m = (561.4 ± 0.4) km; <math>r_{\mathrm{e}_a}</math> = 5.644E5 m = (1128.8 km)/2; <math>r_{\mathrm{e}_b}</math> = 5.613E5 m = (1122.6 km)/2; <var>r</var><sub>p</sub> = 5.585E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Saturnian Satellite IV Dione''': <math>\bar{r}</math> = (5.614E5 ± 4E2) m = (561.4 ± 0.4) km; <math>\bar{r}_\mathrm{e}</math> = 5.6285E5 m; <math>r_{\mathrm{e}_a}</math> = 5.644E5 m = (1128.8 km)/2; <math>r_{\mathrm{e}_b}</math> = 5.613E5 m = (1122.6 km)/2; <var>r</var><sub>p</sub> = 5.585E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Saturnian Satellite III Tethys''': <math>\bar{r}</math> = (5.311E5 ± 6E2) m = (531.1 ± 0.6) km; <math>r_{\mathrm{e}_a}</math> = 5.384E5 m = (1076.8 km)/2; <math>r_{\mathrm{e}_b}</math> = 5.287E5 m = (1057.4 km)/2; <var>r</var><sub>p</sub> = 5.262E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Saturnian Satellite III Tethys''': <math>\bar{r}</math> = (5.311E5 ± 6E2) m = (531.1 ± 0.6) km; <math>\bar{r}_\mathrm{e}</math> = 5.3355E5 m; <math>r_{\mathrm{e}_a}</math> = 5.384E5 m = (1076.8 km)/2; <math>r_{\mathrm{e}_b}</math> = 5.287E5 m = (1057.4 km)/2; <var>r</var><sub>p</sub> = 5.262E5 m = <math>3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b}</math></li>
<li>'''Minor Planet 136108 Haumea''': <math>\bar{r}</math> = (8.42E5 ± 1.1411495179082459842101968196286E4) m = <math>\frac {2r_\mathrm{e} + r_\mathrm{p}} {3}</math>; <math>r_{\mathrm{e}_a}</math> = (1.161E6 ± 3E4) m = ([2322 ± 60] km)/2; <math>r_{\mathrm{e}_b}</math> = (8.52E5 ± 4E3) m = ([1704 ± 8] km)/2; <var>r</var><sub>p</sub> = (5.13E5 ± 1.6E4) m = ([1026 ± 32] km)/2</li>
<li>'''Minor Planet 136108 Haumea''': <math>\bar{r}</math> = (8.42E5 ± 1.1411495179082459842101968196286E4) m = <math>\frac {2r_\mathrm{e} + r_\mathrm{p}} {3}</math>; <math>r_{\mathrm{e}_a}</math> = (1.161E6 ± 3E4) m = ([2322 ± 60] km)/2; <math>r_{\mathrm{e}_b}</math> = (8.52E5 ± 4E3) m = ([1704 ± 8] km)/2; <var>r</var><sub>p</sub> = (5.13E5 ± 1.6E4) m = ([1026 ± 32] km)/2</li>
<li>'''Minor Planet 90482 Orcus''': <math>\bar{r}</math> = (4.585E5 ± 1.25E4) m = ([917 ± 25] km)/2</li>
<li>'''Minor Planet 90482 Orcus''': <math>\bar{r}</math> = (4.585E5 ± 1.25E4) m = ([917 ± 25] km)/2</li>
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* <var>P</var><sub>Europa</sub> = 3.068220384E5 s = 3.551181 d
* <var>P</var><sub>Europa</sub> = 3.068220384E5 s = 3.551181 d
* <var>P</var><sub>Triton</sub> = 5.07773E5 s = 5:21:02:53 d
* <var>P</var><sub>Triton</sub> = 5.07773E5 s = 5:21:02:53 d
* <var>P</var><sub>Pluto</sub> = 5.51856672E5 s = 6.387230 d
* <var>P</var><sub>Eris</sub> = 1.3639104E6 s = 15.786 d
* <var>P</var><sub>Titania</sub> = 7.522186176E5 s = 8.706234 d
* <var>P</var><sub>Oberon</sub> = 1.1632234176E6 s = 13.463234 d
* <var>f</var><sub>Gonggong</sub> = 0.007
* <var>f</var><sub>Gonggong</sub> = 0.007
* <var>P</var><sub>Charon</sub> = (5.5185589E5 ± 3.5E-1) s = 6:09:17:35.89 d ± 0.35 s
* <var>P</var><sub>Umbriel</sub> = 3.580416E5 s = 4.144 d

Revision as of 02:59, 28 June 2024

  1. Star Sol: [math]\displaystyle{ \bar{r} }[/math] = 6.957E8 m = 695700 km; re = 6.963E8 m = 696300 km; rp = 6.945E8 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  2. Planet V Jupiter: [math]\displaystyle{ \bar{r} }[/math] = (6.9911E7 ± 6E3) m = (69911 ± 6) km; re = 7.1492E7 m = 71492 km; rp = 6.6749E7 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  3. Planet VI Saturn: [math]\displaystyle{ \bar{r} }[/math] = (5.8232E7 ± 6E3) m = (58232 ± 6) km; re = 6.0268E7 m = 60268 km; rp = 5.4160E7 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  4. Planet VII Uranus: [math]\displaystyle{ \bar{r} }[/math] = (2.53636666666666666666666666666667E7 ± 7.1802197428460053750009473220537E3) m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; re = (2.5559E7 ± 4E3) m = (25559 ± 4) km; rp = (2.4973E7 ± 2E4) m = (24973 ± 20) km
  5. Planet VIII Neptune: [math]\displaystyle{ \bar{r} }[/math] = (2.4623E7 ± 1.4142135623730950488016887242097E4) m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; re = (2.4764E7 ± 1.5E4) m = (24764 ± 15) km; rp = (2.4341E7 ± 3E4) m = (24341 ± 30) km
  6. Planet III Terra: [math]\displaystyle{ \bar{r} }[/math] = 6.3710087713801186159507022871767E6 m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; re = 6.378137E6 m = 6378.137 km; rp = 6.3567523141403558478521068615295E6 m = −(f − 1)re
  7. Planet II Venus: [math]\displaystyle{ \bar{r} }[/math] = (6.0518E6 ± 1.0E3) m = (6051.8 ± 1.0) km; re = 6.0518001540473630205875615870764E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 6.051799691905273958824876825847E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  8. Planet IV Mars: [math]\displaystyle{ \bar{r} }[/math] = (3.3895333333333333333333333333333E6 ± 7.4535599249992989880305788957709E1) m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; re = (3.3962E6 ± 1E2) m = (3396.2 ± 0.1) km; rp = (3.3762E6 ± 1E2) m = (3376.2 ± 0.1) km
  9. Jovian Satellite III Ganymede: [math]\displaystyle{ \bar{r} }[/math] = (2.6341E6 ± 3E2) m = (2634.1 ± 0.3) km; re = 2.6343095368525535298979659694619E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 2.6336809262948929402040680610762E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  10. Saturnian Satellite VI Titan: [math]\displaystyle{ \bar{r} }[/math] = (2.57473E6 ± 9E1) m = (2574.73 ± 0.09) km; re = 2.5747724234666186838664982852257E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 2.5746451530667626322670034295486E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  11. Planet I Mercury: [math]\displaystyle{ \bar{r} }[/math] = (2.4394E6 ± 1E2) m = (2439.4 ± 0.1) km; re = 2.4401320396118835650695208562569E6 m = [math]\displaystyle{ \frac {-3\bar{r}} {f - 3} }[/math]; rp = 2.4379359207762328698609582874862E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  12. Jovian Satellite IV Callisto: [math]\displaystyle{ \bar{r} }[/math] = (2.4103E6 ± 1.5E3) m = (2410.3 ± 1.5) km; re = 2.4103371835504931845570782568187E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 2.4102256328990136308858434863626E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  13. Jovian Satellite I Io: [math]\displaystyle{ \bar{r} }[/math] = (1.8216E6 ± 5E2) m = (1821.6 ± 0.5) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 1.82435E6 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 1.8300E6 m = (3660.0/2) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 1.8187E6 m = (3637.4/2) km; rp = 1.8161E6 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
  14. Terran Satellite I Luna: [math]\displaystyle{ \bar{r} }[/math] = (1.7375E6 ± 1E2) m = (1737.5 ± 0.1) km; re = 1.7381E6 m = 1738.1 km; rp = 1.7363E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  15. Jovian Satellite II Europa: [math]\displaystyle{ \bar{r} }[/math] = (1.5608E6 ± 5E2) m = (1560.8 ± 0.5) km; re = 1.5611236919764961281816837445995E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.5601526160470077436366325108010E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  16. Neptunian Satellite I Triton: [math]\displaystyle{ \bar{r} }[/math] = (1.3534E6 ± 9E2) m = (1353.4 ± 0.9) km; re = 1.3535499400913007069568216942597E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.3531001198173985860863566114806E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  17. Minor Planet 134340 Pluto: [math]\displaystyle{ \bar{r} }[/math] = (1.1883E6 ± 8E2) m = (1188.3 ± 0.8) km; re = 1.1884238844601665333822436493119E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.1880522310796669332355127013762E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  18. Minor Planet 136199 Eris: [math]\displaystyle{ \bar{r} }[/math] = (1.163E6 ± 6E3) m = (1163 ± 6) km; re = 1.1630147197975619502929207033168E6 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 1.1629705604048760994141585933664E6 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  19. Uranian Satellite III Titania: [math]\displaystyle{ \bar{r} }[/math] = (7.884E5 ± 6E2) m = (788.4 ± 0.6) km; re = 7.8844870718447305101466061189134E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 7.883025856310538979706787762173E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  20. Saturnian Satellite V Rhea: [math]\displaystyle{ \bar{r} }[/math] = (7.635E5 ± 5E2) m = (763.5 ± 0.5) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 7.645E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 7.662E5 m = (1532.4/2) km; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 7.628E5 m = (1525.6/2) km; rp = 7.615E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
  21. Uranian Satellite IV Oberon: [math]\displaystyle{ \bar{r} }[/math] = (7.614E5 ± 2.6E3) m = (761.4 ± 2.6) km; re = 7.6141968120770514618407674466361E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 7.613606375845897076318465106728E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  22. Saturnian Satellite VIII Iapetus: [math]\displaystyle{ \bar{r} }[/math] = (7.356E5 ± 1.5E3) m = (735.6 ± 1.5) km; re = 7.460E5 m = (1492.0/2) km/2; rp = 7.148E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  23. Minor Planet 136472 Makemake: [math]\displaystyle{ \bar{r} }[/math] = (7.1466666666666666666666666666667E5 ± 1.6492422502470642199285639423896E4) m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; re = (7.17E5 ± 2.4E4) m = ([1434 ± 48] km)/2; rp = (7.10E5 ± 1.2E4) m = ([1420 ± 24] km)/2
  24. Minor Planet 225088 Gonggong: [math]\displaystyle{ \bar{r} }[/math] = (6.15E5 ± 2.5E4) m = (615 ± 25) km; re = 6.1643835616438356164383561643836E5 m = [math]\displaystyle{ \frac {-3\bar{r}} {f - 3} }[/math]; rp = 6.121232876712328767123287671233E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  25. Plutonian Satellite I Charon: [math]\displaystyle{ \bar{r} }[/math] = (6.060E5 ± 5E2) m = (606.0 ± 0.5) km; re = (6.0606865413970536945675888781037E5 ± 5.0005671197122533062575234989123E2) m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = (6.058626917205892610864822243793E5 ± 1.8028385564852699931159110236698E3) m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  26. Uranian Satellite II Umbriel: [math]\displaystyle{ \bar{r} }[/math] = (5.847E5 ± 2.8E3) m = (584.7 ± 2.8) km; re = 5.8487439087043772520442710000016E5 m = [math]\displaystyle{ \left( \frac {5π^2\bar{r}^3} {3GmP^2} + 1 \right) \bar{r} }[/math]; rp = 5.843512182591245495911457999997E5 m = [math]\displaystyle{ 3\bar{r} - 2r_\mathrm{e} }[/math]
  27. Uranian Satellite I Ariel: [math]\displaystyle{ \bar{r} }[/math] = (5.789E5 ± 6E2) m = (578.9 ± 0.6) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 5.795E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 5.811E5 m = (1162.2 km)/2; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.779E5 m = (1155.8 km)/2; rp = 5.777E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
  28. Saturnian Satellite IV Dione: [math]\displaystyle{ \bar{r} }[/math] = (5.614E5 ± 4E2) m = (561.4 ± 0.4) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 5.6285E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 5.644E5 m = (1128.8 km)/2; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.613E5 m = (1122.6 km)/2; rp = 5.585E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
  29. Saturnian Satellite III Tethys: [math]\displaystyle{ \bar{r} }[/math] = (5.311E5 ± 6E2) m = (531.1 ± 0.6) km; [math]\displaystyle{ \bar{r}_\mathrm{e} }[/math] = 5.3355E5 m; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 5.384E5 m = (1076.8 km)/2; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.287E5 m = (1057.4 km)/2; rp = 5.262E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
  30. Minor Planet 136108 Haumea: [math]\displaystyle{ \bar{r} }[/math] = (8.42E5 ± 1.1411495179082459842101968196286E4) m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (1.161E6 ± 3E4) m = ([2322 ± 60] km)/2; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (8.52E5 ± 4E3) m = ([1704 ± 8] km)/2; rp = (5.13E5 ± 1.6E4) m = ([1026 ± 32] km)/2
  31. Minor Planet 90482 Orcus: [math]\displaystyle{ \bar{r} }[/math] = (4.585E5 ± 1.25E4) m = ([917 ± 25] km)/2
  32. Minor Planet 90377 Sedna: [math]\displaystyle{ \bar{r} }[/math] = (4.53E5 ± 1.57E5) m = (453 ± 157) km
  33. Minor Planet 50000 Quaoar: [math]\displaystyle{ \bar{r} }[/math] = (5.43E5 ± 2E3) m = (543 ± 2) km; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = 6.43E5 m = (1286 km)/2; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = 5.40E5 m = (1080 km)/2; rp = 4.46E5 m = [math]\displaystyle{ 3\bar{r} - r_{\mathrm{e}_a} - r_{\mathrm{e}_b} }[/math]
  34. Minor Planet 1 Ceres: [math]\displaystyle{ \bar{r} }[/math] = (4.700E5 ± 5.7735026918962576450914878050195E1) m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; [math]\displaystyle{ r_{\mathrm{e}_a} }[/math] = (4.831E5 ± 1E2) m = ([966.2 ± 0.2] km)/2; [math]\displaystyle{ r_{\mathrm{e}_b} }[/math] = (4.810E5 ± 1E2) m = ([962.0 ± 0.2] km)/2; rp = (4.459E5 ± 1E2) m = ([891.8 ± 0.2] km)/2
  35. Minor Planet 120347 Salacia: [math]\displaystyle{ \bar{r} }[/math] = (4.23E5 ± 1.05E4) m = ([846 ± 21] km)/2
  36. Minor Planet 307261 (2002 MS4): [math]\displaystyle{ \bar{r} }[/math] = (4.02666666666666666666666666666667E5 ± 8.7496031656044581754577315089968E3) m = [math]\displaystyle{ \frac {2r_\mathrm{e} + r_\mathrm{p}} {3} }[/math]; re = (4.115E5 ± 1E4) m = (823 ± 20) km; rp = (3.85E5 ± 1.7E4) m = (770 ± 34) km
  37. Minor Planet 55565 (2002 AW197): [math]\displaystyle{ \bar{r} }[/math] = (3.84E5 ± 1.9E4) m = (384 ± 19) km
  38. Minor Planet 532037 (2013 FY27): [math]\displaystyle{ \bar{r} }[/math] = (3.7E5 ± 4E4) m = (370 ± 40) km
  • fTerra = 298.257222101−1
  • PVenus = 2.099715264E7 s = 243.0226 d
  • PGanymede = 6.18153375744E5 s = 7.15455296 d
  • PTitan = 1.377648E6 s = 15.945 d
  • fMercury = 0.0009
  • PCallisto = 1.44193118976E6 s = 16.6890184 d
  • PEuropa = 3.068220384E5 s = 3.551181 d
  • PTriton = 5.07773E5 s = 5:21:02:53 d
  • PPluto = 5.51856672E5 s = 6.387230 d
  • PEris = 1.3639104E6 s = 15.786 d
  • PTitania = 7.522186176E5 s = 8.706234 d
  • POberon = 1.1632234176E6 s = 13.463234 d
  • fGonggong = 0.007
  • PCharon = (5.5185589E5 ± 3.5E-1) s = 6:09:17:35.89 d ± 0.35 s
  • PUmbriel = 3.580416E5 s = 4.144 d
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