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The classical linear GVEs will cause large error when the impulse is large. To reduce the error, we derive the second-order integral-form GVEs under impulsive control. These equations can be used to estimate the orbital-element variations and solve for required impulsive control.
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This page is a summary of: Second-Order Integral-Form Gauss’s Variational Equations Under Impulsive Control, Journal of Guidance Control and Dynamics, February 2019, American Institute of Aeronautics and Astronautics (AIAA),
DOI: 10.2514/1.g003607.
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