Earth-Moon satellite orbits, 461
Echelon form, 150
Echelon matrix, 150
reduced, 157
Eigenspace, 345
Eigenvalue, 339
Eigenvalue matrix, 348
Eigenvalue solution, 386
Eigenvalue-eigenvector algorithm, 341
Eigenvector equation, 386
Eigenvector matrix, 348
Element (of a matrix), 147
Elementary matrix, 180
and row operations, 180
Elimination constant, 37
Elimination method:
Elliptic integral, 548
Elliptical orbit, 412
Engineering functions, 603
Entry (of a matrix), 147
Equilibrium position, 302
Equilibrium solution, 88
of system, 504
Equivalent systems and matrices, 150
Error:
Error function, 53
Escape velocity, 100
Euclidean space, inner product, 251
Euler, Leonhard (1707–1783),
Euler (differential) equation, 277
Euler's formula, 296
Euler's method, 107
Euler's theorem, 565
Exact equation, 65
Exactness, criterion for, 66
Existence, uniqueness of solutions:
Exponential growth, see Natural growth
Exponential matrix, 472
computation of, 478
Exponential order, 563
Exponential series, 606
Exponents (at a regular singular point), 632
External force, 303
3.17.167.114