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Resolution of the MACHO‐LMC‐5 Puzzle: The Jerk‐Parallax Microlens Degeneracy

Resolution of the MACHO‐LMC‐5 Puzzle: The Jerk‐Parallax Microlens Degeneracy

By extending the constant-acceleration analysis of Smith, Mao, & Paczynski to include jerk, I show that microlens parallax measurements are subject to a four-fold discrete degeneracy. The new degeneracy is characterized by a projected velocity \tilde v_j = -(3/4)\cscβ_\ec(\cos^2ψ\sin^2β_\ec+\sin^2ψ)^{3/2}v_earth, where β_\ec is the ecliptic latitude, ψis the phase of the …