Orbital Mechanics with Numerit Pro

Welcome

This web site contains Numerit Pro applications that can be used to solve a variety of technical problems in orbital mechanics.  This suite of programs can be used for practical aerospace mission analysis in the areas of orbit design, visibility and shadow prediction, lunar and interplanetary trajectory analysis, and orbital transfer.

 

Numerit Pro is an integrated problem-solving environment (IPSE) for Windows that is inexpensive (only $99), yet powerful and easy to use.  This software environment includes a program editor, equation editor, report writer, debugging features and interactive graphics.  The Numerit Pro programming language is a high level structured language similar to Fortran, BASIC and MATLAB.  Additional information about Numerit Pro, including an evaluation version for download, and the free NumRun run-time program, can be found at www.numerit.com.

 

The cost of the source code for this software suite is $129.  It can be ordered using the secure and flexible e-commerce services provided by PayPal (www.paypal.com).  PayPal accepts online payments by credit card and a PayPal account is not required to make a purchase.  Before purchasing the software, please read the license agreement.  After placing your order, you will receive an email within 24 hours with a password that will permit you to extract the source code and any support data files.  This password protected zipped file can be downloaded here.

 

The following text files summarize the functions available in the Ephemeris and Orbit source code libraries provided with the purchase of the Orbital Mechanics with Numerit Pro software suite.

 

Ephemeris library text file                    Orbit library text file

 

Click here to order this software.

Last updated August 1, 2008.

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The following is a summary of the major analysis areas and applications contained in this software suite.

 

Astrodynamic Coordinates

 

Coordinate Conversion Utility (PDF Report)

State Vectors and Orbital Elements (PDF Report)

 

Kepler’s Equation

 

Danby’s Solution of Kepler’s Equation (PDF Report)

Kepler’s Equation for Parabolic and Near-parabolic Heliocentric Orbits (PDF Report)

 

Orbital Periods of a Satellite

 

Keplerian, Nodal, Anomalistic and Sidereal Periods of a Satellite (PDF Report)

Nodal Period of a Satellite – Numerical Integration Solution (PDF Report)

Anomalistic Period of a Satellite – Numerical Integration Solution (PDF Report)

Sidereal Period of a Satellite – Numerical Integration Solution (PDF Report)

 

Methods of Orbit Design

 

Time to Repeat a Ground Track – Kozai Orbit Propagation (PDF Report)

Time to Repeat a Ground Track – Numerical Integration Solution (PDF Report)

Repeating Ground Track Orbit Design – Wagner's Method (PDF Report)

Repeating Ground Track Orbit Design – Osculating Semimajor Axis (PDF Report)

Sun-synchronous Orbit Design – Kozai J2 Orbit Propagation (PDF Report)

Sun-synchronous Orbit Design – Kozai J2 + J4 Orbit Propagation (PDF Report)

Sun-synchronous Orbit Design – Osculating Inclination (PDF Report)

Frozen Orbit Design (PDF Report)

Long-Term Evolution of Frozen Orbits (PDF Report)

Sun-synchronous, Repeating Ground Track Orbit Design (PDF Report)

Composite Orbit Design (PDF Report)

 

Orbital Events

 

Predicting Orbital Events: Part 1 (PDF Report)

Predicting Orbital Events: Part 2 (PDF Report)

Closest Approach Between a Satellite and Ground Site – Kozai Orbit Propagation (PDF Report)

Closest Approach Between a Satellite and Ground Site – Numerical Integration Solution (PDF Report)

Closest Approach Between Two Earth Satellites (PDF Report)

Mutual Visibility Between Two Earth Satellites (PDF Report)

 

Shadow Conditions

 

Shadow Conditions of Satellites in Circular Earth Orbits (PDF Report)

Shadow Conditions of Satellites in Elliptical Earth Orbits (PDF Report)

           

Rise and Set

 

Rise and Set of a Satellite – Kozai's Orbit Propagation Method (PDF Report)

Rise and Set of a Satellite – SGP4 Orbit Propagation Method (PDF Report)

Rise and Set of a Satellite – Orbit Propagation using Numerical Integration (PDF Report)

Graphics Display of Visibility Conditions (PDF Report)

Long-Term Prediction of View Periods (PDF Report)

 

Orbit Propagation - Cowell and Encke Methods

 

Cowell’s Method for Earth Satellites (PDF Report)

Cowell’s Method for Heliocentric Orbits (PDF Report)

Encke’s Method for Heliocentric Orbits (PDF Report)

Drag Perturbed Orbital Motion of Earth Satellites (PDF Report)

 

Lambert’s Problem

 

Earth Orbit Lambert Problem (PDF Report)

Perturbed Earth Orbit Lambert Problem (PDF Report)

 

Orbital Maneuvers

 

The Hohmann Orbit Transfer (PDF Report)

Low Thrust Orbit Transfer Between Circular Earth Orbits (PDF Report)

Optimal, Continuous Low-thrust Coplanar Orbit Transfer (PDF Report)

Circular Orbit Plane Change Maneuver (PDF Report)

Single Impulse Orbit Transfer Between Two Intersecting Orbits (PDF Report)

Finite Burn Orbit Transfer (PDF Report)

 

Interplanetary and Lunar Trajectory Analysis

 

Impulsive Hyperbolic Injection from a Circular Park Orbit (PDF Report)

Patched-Conic Interplanetary Lambert Problem (PDF Report)

Interplanetary Trajectory Optimization (PDF Report)

Gravity Assist Interplanetary Trajectories (PDF Report)

Primer Vector Analysis of Interplanetary Trajectories (PDF Report)

Parametric Analysis of Minimum TLI Delta-V Two-Body Lunar Transfer Trajectories (PDF Report)

Lunar Trajectory Design and Analysis (PDF Report)

 

Computer Graphics

 

Orthographic Display of Satellite Ground Tracks (PDF Report)

Rectangular Display of Satellite Ground Tracks (PDF Report)

Orthographic Display of Satellite Orbits (PDF Report)

Rectangular Display of Satellite Ground Tracks – Microworld Data Bank II Maps (PDF Report)

Rectangular Display of Satellite Ground Tracks During Ground Site-to-Satellite Visibility (PDF Report)

 

Coverage Characteristics of an Earth Satellite (PDF Report)

 

Coverage Characteristics of Satellite Constellations (PDF Report)

 

Relative Motion Between Two Satellites in Circular Earth Orbits (PDF Report)

 

The Circular Restricted Three-body Problem (PDF Report)

 

DOWNLOADS

 

Zipped file of executable programs (~7 MB; requires NumRun program)

SLP96 binary ephemeris data file (valid between 12/18/1997 and 01/11/2030) (~6 MB)

Microworld Data Bank and other map files (~700 KB)

These executable programs have been compiled for use with NumRun, version 1.7 (B1.7.106), which is a computer program that can run Numerit Pro executable programs.  NumRun is free and can be downloaded from the Numerit Pro website.

 

 

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