trajectory labs: 1/r2 - chase plane

current loop: fixed center view, chase plane view
attractive 1/r2: fixed center view, [chase plane view]

In the interactive model here, the force on the dodecahedral orbiter is plotted as a red line. The force law used is one-over-radius-squared, so the model simulates both the gravity force between two point masses, and the electrostatic attraction between opposing point charges. Objects shadowing the primary orbiter are from one to six iterative time-steps back, to give you an idea of the most recent direction and speed of travel. Javascript buttons below the window let you choose a few different orbits. The mouse can be used to re-orient the view, and zoom in (Shift/Drag-Down).

Rather than dragging the orbiter when the animation is stopped, trajectories can be modified in chaseplane viewpoint with the T buttons for controlling a set of thrusters in the x, y and z directions. The positive z-direction corresponds to the orbiter opening rimmed by blue-green-white internal panels. The positive x-direction corresponds to the intersection between blue, light grey, and dark grey internal panels, and the positive y-direction bisects the intersection between white and red-brown internal panels.

(* to do: _ add projectiles whose size and type varies with radius _ add javascript buttons to hop to large and small size limits *) (* here a set of independent variables is initialized *) (* the Mathematica model update commands follow *)


x: [m], y: [m], z: [m],
vx: [m/s], vy: [m/s], vz: [m/s]

The Load/Read coordinate buttons and windows above allow more quantitative experimentation, e.g. by letting you type in your own initial position and velocity coordinates.

Credits:

This page is http://www.umsl.edu/~fraundor/nanowrld/newlive/spinning.html. Acknowledgement is due particularly to Martin Kraus for his robust Live3D applet. The galactic panorama is copyright Axel Mellinger, and is adapted here with permission, from his 300MB All-Sky Milky-Way. Thanks also to former grad student researcher Noom Pongkrapan for the simulator border. Although there are many contributors, the person responsible for errors is P. Fraundorf. This site is hosted by the Department of Physics and Astronomy at UM-StL. MindQuilts site page requests ~2000/day approaching a million per year. Requests for a "stat-counter linked subset of pages" since 4/7/2005: .