The Newtonian model of gravity in which the force between two objects is given by GMm/r^2.
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4answers
173 views
How to get the angle needed for a projectile to pass through a given point for trajectory plotting
I am trying to find the angle needed for a projectile to pass-through a given point.
Here is what I do know:
Starting Point $(x_0,y_0)$
Velocity
Pass-through point $(x_1, y_1)$
I also need to ...
0
votes
3answers
49 views
Forces involved in a climbing jet aircraft
I have a problem with which I need help. The question is:
A jet aircraft is climbing at an angle of 45° above the horizontal and is accelerating at 4.5m/s2. What is the total force that the cockpit ...
3
votes
1answer
229 views
Efficiently calculating the gravitational force from spherical shell
I am reading Kolenkow and Kleppner's Classical Mechanics and they have tried to calculate the gravitational force between a uniform thin spherical shell of mass $M$ and a particle of mass $m$ located ...
3
votes
1answer
391 views
Gravitational attraction of triangles
Suppose I have two triangles relatively close together (so they probably shouldn't really be treated as point masses). I want to calculate the gravitational force (and potentially torque?) generated ...
1
vote
1answer
41 views
How to calculate air resistance of penny dropped from Empire State Building?
If a penny is dropped from the Empire State Building, then its speed, without taking air resistance into consideration, is
$\sqrt{\left(32\frac{\textrm{ft}}{\textrm{s}^2}\right)(1454\textrm{ ...
1
vote
1answer
90 views
Gravitational field v.s. Physical variable?
I went to a talk on Newtonian mechanics some time earlier and the speaker said, and I quote,
Newton's equations of motion admit a larger symmetry group than the Galilean group alone. Therefore, ...
-1
votes
1answer
114 views
How is gravitational force is compared to flow of water?
I listened to a lecture. The professor said that the gravitational field around the particle (spherical in shape) can be compared to a pond having a constant height and depth and water is constantly ...
5
votes
0answers
68 views
Derivation of Universal Variables
Does anyone know of link to the derivation of the Universal Variables?
This is in regards to Kepler's equations. The Wikipedia link didn't have enough information for me, and the Colorado page ...
2
votes
0answers
140 views
Calculation of a Gravity Resonance Keyhole
Can anyone describe the mathematics behind the calculation of a resonance keyhole (for a two-body model)? It seems like the size and position of the keyhole should be a function only of mass and ...
1
vote
0answers
64 views
Formulation of the Three-Body Newtonian problem
I am trying to understand three body problem in Newtonian space. I want to make formulation of differential equations for known initial conditions for the case with:
Identical three masses
...
1
vote
0answers
370 views
Calculating semi-major axis of binary stars from velocity, position and mass
I'm trying to calculate the 'instantaneous' semi-major axis of a binary system with two equal (known) mass stars for an $N$-body simulation. I know their velocities and positions at a given time, but ...
0
votes
0answers
26 views
What is the equation for Lin-Shu density wave theory?
Lin-Shu density wave theory is a (very good) theory to explain the spiral arm structure of spiral galaxies.
Where can I find the equations that underlie this theory?
I've seen its computer ...
0
votes
0answers
34 views
Understanding Kepler's $2^{nd}$ law in terms of angular momentum conservation
A) Explain how Kepler's $2^{nd}$ law - "The radius vector from the Sun to a planet sweeps out equal areas in equal time intervals" - can be understood in terms of angular momentum conservation.
I ...
0
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0answers
81 views
Mathematical Formulation of the laws of classical physics
By classical here I mean non-quantum mechanical, and everything that is developed afterwards such as color, etc.
I am wondering if we can look at our Universe mathematically like this:
Let ...
