WE PROPOSE TO BUILD ON THESE PREVIOUS STUDIES TO IMPROVE OUR UNDERSTANDING OF THE TECTONIC MECHANISMS ON MERCURY THE MOON AND MARS AND TO IMPROVE OUR ABILITY TO RELATE THE TECTONIC RECORD TO THE STRAIN HISTORY. THE PROPOSED WORK CONSISTS OF THREE TASKS AIMED AT TWO OBJECTIVES: OBJECTIVE 1: CONSTRAIN THE TECTONIC ARCHITECTURE OF LOBATE SCARPS WRINKLE RIDGES AND GRABEN ON MARS THE MOON AND MERCURY TO BETTER UNDERSTAND THEIR FORMATION AND THE ASSOCIATED STRAIN. OBJECTIVE 2: PROVIDE QUANTITATIVE INTERPRETATIONS OF THE STRAIN HISTORY OF MARS AND THE MOON CORRECTING FOR PREDICTED MEMBRANE-FLEXURAL STRESSES IN THE LITHOSPHERE. THESE OBJECTIVES WILL BE MET THROUGH A SET OF THREE TASKS: TASK 1: CHARACTERIZE THE TOPOGRAPHY OF LOBATE SCARPS WRINKLE RIDGES AND GRABEN ON MARS THE MOON AND MERCURY BY GENERATING STATISTICALLY REPRESENTATIVE AVERAGE TOPOGRAPHIC PROFILES PERPENDICULAR TO THE FEATURES TOGETHER WITH THE UNCERTAINTY ON THE AVERAGE PROFILES. TASK 2: INVERT THE TOPOGRAPHIC PROFILES ACROSS THE STRUCTURES FOR THE SUBSURFACE GEOMETRY OF FAULTS USING A MONTE CARLO ANALYSIS IN COMBINATION WITH A BOUNDARY ELEMENT MODEL TO ESTABLISH BEST-FIT VALUES AND CONFIDENCE INTERVALS FOR KEY PARAMETERS (E.G. DIP DISPLACEMENT). TASK 3: USE SPHERICAL HARMONIC MODELS OF MEMBRANE-FLEXURAL STRAINS IN THE LITHOSPHERES OF MARS AND THE MOON TO CORRECT THE INFERRED GLOBAL STRAIN HISTORY FOR COMPETING FLEXURAL EFFECTS. THE RESULTS OF THIS WORK WILL BETTER CONSTRAIN THE TECTONIC ARCHITECTURE OF LOBATE SCARPS WRINKLE RIDGES AND GRABEN AND PROVIDE QUANTITATIVE BOUNDS ON THE STRAIN HISTORIES OF MARS AND THE MOON INCLUDING A FORMAL UNCERTAINTY ANALYSIS. THIS OUTCOME IS OF SIGNIFICANT IMPORT TO OUR UNDERSTANDING OF THESE BODIES. THE TECTONIC RECORD IS THE MOST DIRECT EVIDENCE WE HAVE FOR THE THERMAL EVOLUTION OF THE PLANETS WHICH IN TURN HAS CLEAR IMPLICATIONS FOR OUR UNDERSTANDING OF THE THEIR FORMATION AND EVOLUTION THE INVENTORY OF RADIOACTIVE ELEMENTS THEIR MAGNETIC FIELDS AND THEIR VOLCANIC EVOLUTION. THE RESULTS WILL ALSO IMPROVE OUR UNDERSTANDING OF THE TECTONIC PROCESSES THEMSELVES AND THE ACCOMMODATION OF STRAIN IN THE LITHOSPHERES OF THE PLANETS.