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- README.J2
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- The code assumes that to incorporate an oblateness to the first particle
- that the grav. potential of a central body is given by
- V = -(GM/r) * (1 - j2rp2*P_2/(r^2) - j4rp4*P_4/(r^4) )
- where j2rp2 = j2 * rp^2 and j4rp4 = j4 * rp^4, with rp the radius of
- the central object. The P_n are Legendre polys of order n and their
- argument is (z^2/r^2).
- N.B. THE MINUS SIGNS IN THE SUMMATION OVER MULTIPOLE MOMENTS ARE
- TAKEN BY SOME AUTHORS TO BE PLUS SIGNS , SO THAT THE SIGNS OF J2 AND
- J4 MUST BE CAREFULLY CHECKED. IN OUR NOTATION FOR EXAMPLE THE
- J2 FOR AN OBLATE BODY IS USUALLY POSITIVE. A POSITIVE J2 IN OUR
- NOTATION LEADS TO THE ADVANCE OF THE ARGUMENT OF PERIHELION, AS WOULD
- HAPPEN E.G. FOR MERCURY DUE ONLY TO AN OBLATE SUN. NOTE ALSO WE
- REQUIRE THE USER TO INPUT J2RP2 and J4RP4, SO THE SATELLITE DISTANCE
- MUST BE IN THE SAME LENGTH UNITS AS IS USED TO CALCULATE J2*(RP^2)
- FOR EXAMPLE.
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