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Can you describe a general rule which identifies where in the orbit velocity is increasing and where it is decreasing? What is the angle between the velocity and acceleration vectors at these times? ___.

Respuesta :

Answer:

The angle between the velocity and acceleration vectors at perihelion and aphelion is between 0 to 90 degree and 90 to 100 degrees respectively

Explanation:

To understand this consider a planet is moving around sun in orbital motion as shown in figure attached below. Point A is perihelion (close to sun) and point B is aphelion (far away from sun), instantaneous orbital speed is:

[tex]v=\sqrt{\mu(\frac{1}{r}-\frac{1}{d})}[/tex]

r is radius of ellipse and d is elliptical distance between body in orbital motion w.r.to center body (planet and sun respectively).

As shown from fig

[tex]d_{a}<d_{b}[/tex]

so this defines clearly that according to Kepler's law of orbital motion, Orbital speed at perihelion (point A) is greater than orbital speed at aphelion (point B)

The angle between the velocity and acceleration vectors at perihelion and aphelion is between 0 to 90 degree and 90 to 100 degrees respectively

Ver imagen afsahsaleem