Scholarlink

As mentioned in Chap.  2 , the Program 66 (P66) consists of the vertical and horizontal channel design for guiding the LM on the last phase of the trajectory. The formulas of this P66 guidance program and the commanded body frame matrix formulas are described below. The P66 horizontal guidance algorithm is processed once every 2 s, nulls the horizontal velocity component relative to the lunar surface and is given by the following formulas [1]: \( AFCP_X = \) \(AFCP_Y = LIMIT[-\frac{1}{5} (V_{PY}-VMOONP_Y)-0.4 AFCP_Y, ~(20/57.3) GM]\) \(AFCP_Z = LIMIT[-\frac{1}{5} (V_{PZ}-VMOONP_Z)-0.4 AFCP_Z, ~(20/57.3) GM],\) where \(\textbf{AFCP}\) is the thrust acceleration command, GM is the lunar gravitational acceleration, \(\mathbf {V_P}\) is the current velocity. \(\textbf{VMOONP}\) is the lunar-surface velocity in the platform frame.

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P66 Lunar-Landing Guidance

  • 章节

  • 发表日期：

    2026年

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  • Dilmurat M. Azimov,
  • Robert H. Bishop

摘要

As mentioned in Chap.  2 , the Program 66 (P66) consists of the vertical and horizontal channel design for guiding the LM on the last phase of the trajectory. The formulas of this P66 guidance program and the commanded body frame matrix formulas are described below. The P66 horizontal guidance algorithm is processed once every 2 s, nulls the horizontal velocity component relative to the lunar surface and is given by the following formulas [1]: \( AFCP_X = \) \(AFCP_Y = LIMIT[-\frac{1}{5} (V_{PY}-VMOONP_Y)-0.4 AFCP_Y, ~(20/57.3) GM]\) \(AFCP_Z = LIMIT[-\frac{1}{5} (V_{PZ}-VMOONP_Z)-0.4 AFCP_Z, ~(20/57.3) GM],\) where \(\textbf{AFCP}\) is the thrust acceleration command, GM is the lunar gravitational acceleration, \(\mathbf {V_P}\) is the current velocity. \(\textbf{VMOONP}\) is the lunar-surface velocity in the platform frame.