5-) For elliptical orbits (0
Posted: Wed May 04, 2022 1:24 pm
5-) For elliptical orbits (0<e < 1), the time t is related to the true anomaly 0 as 1 1-e 1+e tan ev1-esin 6 1+ e cos 0 (1-2)/2 which can be put in the elliptic Kepler's equation form us M-E-esin E, where the elliptic mean anomaly Me is M. - (1-e²), and the elliptic eccentric anom- aly E is E2tan tan- te By putting M, and E in the elliptic Kepler's equation, show that one can obtain (9.28) or (9.30) as + = = {2-²¹ (VEF) - 200² (√)} 1 }; t= tan esin tan 1+e 1+e Hint: You may use T = and a = 2
Posted: Wed May 04, 2022 1:24 pm
5-) For elliptical orbits (0<e < 1), the time t is related to the true anomaly 0 as 1 1-e 1+e tan ev1-esin 6 1+ e cos 0 (1-2)/2 which can be put in the elliptic Kepler's equation form us M-E-esin E, where the elliptic mean anomaly Me is M. - (1-e²), and the elliptic eccentric anom- aly E is E2tan tan- te By putting M, and E in the elliptic Kepler's equation, show that one can obtain (9.28) or (9.30) as + = = {2-²¹ (VEF) - 200² (√)} 1 }; t= tan esin tan 1+e 1+e Hint: You may use T = and a = 2