Problem

Earth’s period between successive perihelion transits (the “anomalistic year”) is 365.2596...

Earth’s period between successive perihelion transits (the “anomalistic year”) is 365.2596 mean solar days, and the eccentricity of its orbit is 0.0167504. Assuming motion in a Keplerian elliptical orbit, how far does the Earth move in angle in the orbit, starting from perihelion, in a time equal to one-quarter of the anomalistic year? Give your result in degrees to an accuracy of one second of arc or better. Any method may be used, including numerical computation with a calculator or computer.

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Solutions For Problems in Chapter 3