ch13-p047 - 47. (a) The greatest distance between the...

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66 6 6.73 10 m + 6.55 10 m 6.64 10 m. 22 ap RR a + ×× == = × (b) The apogee and perigee distances are related to the eccentricity e by R a = a (1 + e ) and R p = a (1 e ). Add to obtain R a + R p = 2 a and a = ( R a + R p )/2. Subtract to obtain R a R p = 2 ae . Thus, 6.73 10 m 6.55 10 m 0.0136. 2 6.73 10 m 6.55 10 m RRRR e aR R −− ×− × === = + × 47. (a) The greatest distance between the satellite and Earth’s center (the apogee distance)
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