THE SEARCH FOR EARTH-LIKE PLANETS WITH THE RADIAL VELOCITY METHOD REQUIRES MEASUREMENT PRECISION OF ABOUT 10 CM/S. THIS LEVEL OF INSTRUMENTAL PRECISION WILL BE REACHED BY NEXT GENERATION SPECTROGRAPHS THAT PROVIDE VERY HIGH FIDELITY DATA. THE TWO KEY REMAINING CONTRIBUTIONS TO THE ERROR BUDGET FOR EXTREME PRECISION RADIAL VELOCITIES ARE STELLAR JITTER PHOTOSPHERIC VELOCITY CONTRIBUTIONS (PMODES GRANULATION SPOTS FACULAE MERIDIONAL FLOWS) AND TELLURIC CONTAMINATION OF THE SPECTRA. THE ABILITY TO MODEL THESE OBSCURING SIGNALS WOULD CHANGE THE TRAJECTORY OF EXOPLANET SCIENCE BY ENABLING DETECTIONS AND MASS MEASUREMENTS OF LOW MASS PLANETS AND TO BY PROVIDING BULK DENSITIES FOR THOUSANDS OF TRANSITING PLANETS. THE KEY OBJECTIVES OF THIS PROPOSAL ARE THE DEVELOPMENT OF STATISTICAL ANALYSIS TOOLS THAT WILL ALLOW US TO (1) SEPARATE PHOTOSPHERIC DOPPLER SHIFTS FROM KEPLERIAN DOPPLER SHIFTS IN HIGH-RESOLUTION SPECTRA AND (2) MITIGATE THE IMPACT OF TELLURIC CONTAMINATION. THE WORK NECESSARILY BEGINS WITH SIMULATED DATA WHERE WE CAN TEST THE RELIABILITY OF OUR METHODS BUT WILL THEN BE EXTENDED TO EXISTING ARCHIVAL SPECTROSCOPIC DATA FROM HARPS CHIRON AND HIRES.