Abstract: A method for filtering spatial error from a measurement vector is provided to correct for roll, pitch and yaw angular motion. The method includes the following operations: Establish an unstabilized body reference frame. Convert the measurement vector to an unstabilized state vector xU in the unstabilized body reference frame. Establish a stabilized East-North-Up (ENU) reference frame. Calculate an unstabilized pre-transform covariance matrix MU from position variance of the body reference frame. Measure roll, pitch and yaw in the body reference frame as respective angle values (r, p, w). Calculate a transform matrix T between the body reference frame and the ENU reference frame. Calculate a stabilized data vector xS=TxU from the transform matrix and the unstabilized state vector. Calculate a measured angle error sensitivity matrix MA from the angle values. Calculate a tri-diagonal angle error component matrix ME with square values of angle variance of the body reference frame.

Abstract: A method for filtering spatial error from a measurement vector is provided to correct for roll, pitch and yaw angular motion. The method includes the following operations: Establish an unstabilized body reference frame. Convert the measurement vector to an unstabilized state vector xU in the unstabilized body reference frame. Establish a stabilized East-North-Up (ENU) reference frame. Calculate an unstabilized pre-transform covariance matrix MU from position variance of the body reference frame. Measure roll, pitch and yaw in the body reference frame as respective angle values (r, p, w). Calculate a transform matrix T between the body reference frame and the ENU reference frame. Calculate a stabilized data vector xS=TxU from the transform matrix and the unstabilized state vector. Calculate a measured angle error sensitivity matrix MA from the angle values. Calculate a tri-diagonal angle error component matrix ME with square values of angle variance of the body reference frame.

Abstract: A computer-implemented analysis method is provided for identifying a flight trajectory of a bogey relative to earth's surface. The method includes a first step of obtaining first and second altitudes and velocities of the bogey separated by a first time interval. The second step calculates a first difference between the first and second velocities divided by the first time interval to obtain an acceleration vector. The third step determines the direction of the velocity vector. The fourth step determines whether direction of the second velocity vector exceeds an upward pointing threshold. The fifth step determines whether the acceleration vector is negative and substantially perpendicular to earth's surface as a second result being valid. The sixth step reports that the bogey represents a ballistic projectile in response to the first and second results.

Abstract: A computer-implemented analysis method is provided for identifying a flight trajectory of a bogey relative to earth's surface. The method includes a first step of obtaining first and second altitudes and velocities of the bogey separated by a first time interval. The second step calculates a first difference between the first and second velocities divided by the first time interval to obtain an acceleration vector. The third step calculates an acceleration magnitude from the acceleration vector. The remaining steps characterize the vectors and magnitude to report whether the bogey represents a ballistic projectile in a particular phase of Boost, Apogee or Descent.

Abstract: A computer-implemented analysis method is provided for identifying a flight trajectory of a bogey relative to earth's surface. The method includes a first step of obtaining first and second altitudes and velocities of the bogey separated by a first time interval. The second step calculates a first difference between the first and second velocities divided by the first time interval to obtain an acceleration vector. The third step calculates an acceleration magnitude from the acceleration vector. The remaining steps characterize the vectors and magnitude to report whether the bogey represents a ballistic projectile in a particular phase of Boost, Apogee or Descent.

Abstract: A computer-implemented analysis method is provided for identifying a flight trajectory of a bogey relative to earth's surface. The method includes a first step of obtaining first and second altitudes and velocities of the bogey separated by a first time interval. The second step calculates a first difference between the first and second velocities divided by the first time interval to obtain an acceleration vector. The third step determines the direction of the velocity vector. The fourth step determines whether direction of the second velocity vector exceeds an upward pointing threshold. The fifth step determines whether the acceleration vector is negative and substantially perpendicular to earth's surface as a second result being valid. The sixth step reports that the bogey represents a ballistic projectile in response to the first and second results.