![13-15 Sep 2004 [PDF] - Orbiter Space Flight Simulator - UCL](https://img.yumpu.com/31335009/7/500x640/13-15-sep-2004-pdf-orbiter-space-flight-simulator-ucl.jpg)
13-15 Sep 2004 [PDF] - Orbiter Space Flight Simulator - UCL
13-15 Sep 2004 [PDF] - Orbiter Space Flight Simulator - UCL
13-15 Sep 2004 [PDF] - Orbiter Space Flight Simulator - UCL
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Gravity calculation<br />
<strong>Orbiter</strong> accomodates perturbations of the radial symmetry of<br />
gravitational potential sources in a single (polar) dimension<br />
using a harmonic series:<br />
<br />
N<br />
2<br />
GM R <br />
U ( r,<br />
φ)<br />
= 1<br />
−<br />
J<br />
n<br />
P n<br />
(sinφ)<br />
<br />
r n=<br />
2 r <br />
with Legendre polynomial P n of order n, and perturbation<br />
coefficients J n . Number of terms N is adjusted automatically as<br />
a function of distance r.<br />
Earth J 2<br />
= 1082.63<br />
J 3<br />
= -2.51<br />
J 4<br />
= -1.6<br />
J 5<br />
= 0.<strong>13</strong><br />
Mercury J 2<br />
= 60<br />
Venus J 2<br />
= 27<br />
Mars J 2<br />
= 1964<br />
Jupiter J 2<br />
= 14750<br />
Saturn J 2<br />
= 16450<br />
Uranus J 2<br />
= 12000<br />
Neptune J 2<br />
= 4000<br />
x 10 -6<br />
A full spherical harmonics<br />
expansion of the field<br />
perturbations in both polar (φ)<br />
and azimuth direction (λ) is<br />
planned for a future version.
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