Question

Box 3: Making things move How do the lines of the Python code earth.p=earth.p+forcedt and earth.pos=earth.pos+(earth.p/earth.M)dt relate to the physics equations in the "Determining the motion of a particle" section. Box 4: Making things move Explain the relationship between the python code force = -Gsun.Mearth.M*R/magR3 and the equation $\vec{F} = -\frac{Gm_s m_E}{R^2} \hat{R}$. Hint: starting with the vector $\vec{R}$ how can we find the unit vector $\hat{R}$ which points in the direction of $\vec{R}$? Remember that we use in python we use for exponentiation so that magR**3 means $(magR)^3$.

          Box 3: Making things move
How do the lines of the Python code
earth.p=earth.p+force*dt
and
earth.pos=earth.pos+(earth.p/earth.M)*dt
relate to the physics equations in the "Determining the motion of a particle" section.
Box 4: Making things move
Explain the relationship between the python code
force = -G*sun.M*earth.M*R/magR**3
and the equation
$\vec{F} = -\frac{Gm_s m_E}{R^2} \hat{R}$.
Hint: starting with the vector $\vec{R}$ how can we find the unit vector $\hat{R}$ which points in the direction of $\vec{R}$?
Remember that we use in python we use ** for exponentiation so that magR**3 means $(magR)^3$.

Box 3: Making things move
How do the lines of the Python code
earth.p=earth.p+force*dt
and
earth.pos=earth.pos+(earth.p/earth.M)*dt
relate to the physics equations in the "Determining the motion of a particle" section.
Box 4: Making things move
Explain the relationship between the python code
force = -G*sun.M*earth.M*R/magR**3
and the equation
F⃗ = -(Gms mE)/(R^2)R̂.
Hint: starting with the vector R⃗ how can we find the unit vector R̂ which points in the direction of R⃗?
Remember that we use in python we use ** for exponentiation so that magR**3 means (magR)^3.

Added by Toni H.

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