8. The dynamics of a comet is governed by the gravitational force between the comet and the Sun, f= -GMmr/r³, where G = 6.67 x 10-11 Nm2/kg? is the gravitational constant, M = 1.99 x 1030 kg is the mass of the Sun, m is the mass of the comet, r is the position vector of the comet measured from the Sun, and r is the magnitude of r. Write a program to study the motion of Halley's comet that has an aphelion (the farthest point from the Sun) distance of 5.28 x 1012 m and an aphelion velocity of 9.12 x 102 m/s. What are the proper choices of the time and length units for the problem? Discuss the error generated by the program in each period of Halley's comet.

8. The dynamics of a comet is governed by the gravitational force between the comet and the Sun, f= -GMmr/r³, where G = 6.67 x 10-11 Nm2/kg? is the gravitational constant, M = 1.99 x 1030 kg is the mass of the Sun, m is the mass of the comet, r is the position vector of the comet measured from the Sun, and r is the magnitude of r. Write a program to study the motion of Halley's comet that has an aphelion (the farthest point from the Sun) distance of 5.28 x 1012 m and an aphelion velocity of 9.12 x 102 m/s. What are the proper choices of the time and length units for the problem? Discuss the error generated by the program in each period of Halley's comet.

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter6: Modularity Using Functions

Section6.1: Function And Parameter Declarations

Problem 6E

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