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Fast Trajectory Generation in High Fidelity Geopotentials using Finite…

Award Information

Agency:
Department of Defense
Branch:
Air Force
Award ID:
94939
Program Year/Program:
2010 / STTR
Agency Tracking Number:
F09B-T02-0192
Solicitation Year:
N/A
Solicitation Topic Code:
AF 09TT02
Solicitation Number:
N/A
Small Business Information
Analytical Mechanics Associates, Inc.
21 Enterprise Parkway, Suite 300 Hampton, VA 23666-6413
View profile »
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
 
Phase 1
Fiscal Year: 2010
Title: Fast Trajectory Generation in High Fidelity Geopotentials using Finite Elements, Mascons, and Parallelism
Agency / Branch: DOD / USAF
Contract: FA9550-10-C-0061
Award Amount: $99,997.00
 

Abstract:

We propose to investigate the feasibility of obtaining fast and accurate trajectories using global geopotential models representing departures from the two-body plus J2 terms. The proposed geopotential formulations and numerical integration methods rely on multi-core processors and the emerging massive parallel capabilities of Graphics Processing Units (GPUs) available to common personal computers. Two approaches of modeling the geopotential are proposed. 1) Finite Element Approach: modernize existing finite element models of the geopotential and trade memory for computational speed through the interpolation of a pre-computed mesh. 2) Mascon Approach: model thousands of mascons within the Earth and tap into the fine-grained parallelism of the affordable and commonly available GPUs. Integration of equations of motion will be performed using parallel explicit and implicit methods as well as modern energy preserving (symplectic) techniques that are ideally suited for conservative problems such as the non-spherical earth. The deliverables of Phase I will be prototype geopotential models and example simulations of high-fidelity trajectories which can ultimately be moved into operations to benefit a wide variety of SSA activities. Using a single desktop computer, we target simulation speed improvements of two orders of magnitude compared to conventional geopotential formulations and serial approaches. BENEFIT: It is anticipated that parts of the proposed research will achieve two orders of magnitude improvement in gravitational acceleration calculation. The parallel implementation and fast integration schemes will further improve trajectory calculation speed, which will benefit the Air Force SSA activities and a wide range of other industries. The commercial applications of the proposed research will involve sales of software and services to governmental agencies and contractors such as NASA, military, aerospace corporations, and software companies supporting the earth and space science industries. Apart from the apparent spacecraft trajectory applications, the proposed computation schemes using GPUs and parallel numerical integration have a wide range of applications, including computational fluid dynamics, structural analysis, large-scale optimization, etc.

Principal Investigator:

Ryan P. Russell
Assistant Professor
4043853342
ryan.russell@gatech.edu

Business Contact:

Anu Bedi
Business and Contracts Manager
7578650000
anub@ama-inc.com
Small Business Information at Submission:

Analytical Mechanics Associates, Inc.
303 Butler Farm Road Suite 104A Hampton, VA 23666

EIN/Tax ID: 111999848
DUNS: N/A
Number of Employees:
Woman-Owned: No
Minority-Owned: No
HUBZone-Owned: No
Research Institution Information:
Guggenheim School of Aerospace Eng
Georgia Institute of Tech.
270 Ferst Drive
Atlanta, GA 30332
Contact: Christopher D''Urbano
Contact Phone: 4043856797