Physics, 05.07.2019 02:20 shelbysargent11

The orbit of a certain a satellite has a semimajor axis of 1.7 x 107 m and an eccentricity of 0.25. what are the satellite's perigee and apogee (in km)?

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Answer from: MayFlowers

The satellite's perigee and apogee are $2.13\times10^{4}\ km$ and $1.3\times10^{4}\ km$

Explanation:

Given that,

Semi major axis $a = 1.7\times10^{7}\ m$

Eccentricity = 0.25

We calculate the satellite's perigee

Using formula of perigee

Perigee=a(1+e)

$Perigee=1.7\times10^{7}(1+0.25)$

$Perigee=2.13\times10^{7}\ m$

$Perigee=2.13\times10^{4}\ km$

Using formula of apogee

Apogee =a(1-e)

$Apogee =1.7\times10^{7}(1-0.25)$

Apogee =12750000

$Apogee=1.3\times10^{7}\ m$

$Apogee=1.3\times10^{4}\ km$

Hence, The satellite's perigee and apogee are $2.13\times10^{4}\ km$ and $1.3\times10^{4}\ km$

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The orbit of a certain a satellite has a semimajor axis of 1.7 x 107 m and an eccentricity of 0.25....

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