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The direction of rotation of the satellite around the Earth, the relationship is given below: C R = 1 = e sin(0 + a) In this relation (R, 0) as shown in the figure, the polar coordinates of the satellite and C,e,a are constant. R. If the satellite is observed at the 3 points in the table below, determine at what 0 the satellite reaches the lowest R and calculate the value of R at this point. Perform all calculations using the Newton-Raphson method and up to 3 significant digits. -30° 0° 30° R(km) 6870 6728 6615 Tip: Create 3 equations using the given table to first obtain the constants C, e, a. Then take the derivative of R with respect to 0 and set the derivative to zero and solve the resulting equation for 0 to find 0 where R is the minimum.

The direction of rotation of the satellite around the Earth, the relationship is given below: C R = 1 = e sin(0 + a) In this relation (R, 0) as shown in the figure, the polar coordinates of the satellite and C,e,a are constant. R. If the satellite is observed at the 3 points in the table below, determine at what 0 the satellite reaches the lowest R and calculate the value of R at this point. Perform all calculations using the Newton-Raphson method and up to 3 significant digits. -30° 0° 30° R(km) 6870 6728 6615 Tip: Create 3 equations using the given table to first obtain the constants C, e, a. Then take the derivative of R with respect to 0 and set the derivative to zero and solve the resulting equation for 0 to find 0 where R is the minimum.

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The direction of rotation of the satellite around the Earth, the relationship is given below: C R = 1 = e sin(0 + a) In this relation (R, 0) as shown in the figure, the polar coordinates of the satellite and C,e,a are constant. R. If the satellite is observed at the 3 points in the table below, determine at what 0 the satellite reaches the lowest R and calculate the value of R at this point. Perform all calculations using the Newton-Raphson method and up to 3 significant digits. -30° 0° 30° R(km) 6870 6728 6615 Tip: Create 3 equations using the given table to first obtain the constants C, e,a. Then take the derivative of R with respect to 0 and set the derivative to zero and solve the resulting equation for 0 to find e where R is the minimum.
Transcribed Image Text:The direction of rotation of the satellite around the Earth, the relationship is given below: C R = 1 = e sin(0 + a) In this relation (R, 0) as shown in the figure, the polar coordinates of the satellite and C,e,a are constant. R. If the satellite is observed at the 3 points in the table below, determine at what 0 the satellite reaches the lowest R and calculate the value of R at this point. Perform all calculations using the Newton-Raphson method and up to 3 significant digits. -30° 0° 30° R(km) 6870 6728 6615 Tip: Create 3 equations using the given table to first obtain the constants C, e,a. Then take the derivative of R with respect to 0 and set the derivative to zero and solve the resulting equation for 0 to find e where R is the minimum.
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