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- Murison, M. A. (2008).
"Zenith Calibration of a New Geodetic Astrolabe",
AA-2008-01.
[This paper is, temporarily, not publicly available due to proprietary issues regarding the astrolabe project.]AbstractA procedure is detailed for calibrating a proposed geodetic astrolabe to the local gravity field and hence to the true local zenith. The calibration optical setup is simple, involving [redacted]. In principle the optics mountings can be motorized and the procedure largely automated. Advantages are that this can be done in the lab, where the weather is nice; that the devices are calibrated close to their optimum level prior to shipment; and that this will provide an independent check on field calibrations. Another advantage is that a fortuitous design decision to separate the instrument into two pieces allows an assembly-line style of calibrating several instruments using just one calibration setup. The calibration optics themselves need to be precisely aligned just once, independent of subsequent calibration of the astrolabes.An analytical ray tracing and error analysis is performed for small misalignments of the calibration optics. I show that, in general, errors in the retroreflector return beam direction cannot be mitigated at first order by small rotations of the beam launcher and first pellicle. Thus, the accuracy to which a true vertical reference beam can be established, and to which the astrolabe top assembly can then be calibrated, is of order the return beam deviation from the retroreflector. (There may be ways to get around this problem.) A survey of optical supply vendors reveals the lower bound of this deviation to be one arcsec. If not for this retroreflector problem, the fundamental limitation to the calibration accuracy would otherwise appear to be the level to which two overlaid spots on a CCD detector can be discriminated. This discrimination capability is set by the focal length f2 of the calibration setup focusing lens. Assuming 10 micron detector pixels and a perfect retroreflector, values of f2 of order 20 meters would be required to achieve an absolute calibration of order 0.1 arcsec.
- Murison, M. A. (2007).
"Calibration of the dFTS Adaptive Optics Module",
AA-2007-07.
[This paper is, temporarily, not publicly available due to U.S. patent and other proprietary issues regarding the dFTS project.]AbstractThe USNO dFTS makes use of a commercially available tip/tilt adaptive optics module (the AO-7 from SBIG) as part of the guider box, located at the telescope, whose job it is to keep starlight centered on the fiber optic which is the input to the dFTS instrument. We briefly describe the guider box in order to put our discussion of the AO movement calibration into context. Then, given the geometry of the AO-7 adaptive optics module, we calculate the expressions needed to convert coordinates and distances as measured in CCD pixels into the corresponding coordinates and distances in the AO mirror frame in AO units. - Murison, M. A. (2007).
"The Relative Velocity
between Two Confocal Keplerian Orbits",
AA-2007-04.
xml version - Murison, M. A. (2007).
"On the Precision of Artificial
Satellite Orbit Determination from Observations from an Orbiting Platform.
I. Analytical Results for Dominant Transverse Motion.",
AA-2007-03.
xml version - Murison, M. A. (2007).
"Two Designs for
the USNO dFTS Back-End Lens Assembly",
AA-2007-01.
xml version - Murison, M. A. (2006).
"An Error Analysis
of Elliptical Orbit Transfer Between Two Coplanar Circular Orbits",
AA-2006-04.
xml version - Murison, M. A. (2006).
"Partial Derivatives
of Observables with Respect to Two-Body Orbital Elements",
AA-2006-03.
xml version - Murison, M. A. (2006).
"A Practical
Method for Solving the Kepler Equation",
AA-2006-02.
xml version - Murison, M. A. (2004).
"A Rudimentary Analysis of
Spectroscopic Smearing Due to a Converging Incident Starlight Beam in a
Spin-Stabilized Spacecraft",
AA-2004-07. - Murison, M. A. (2004).
"Geometric
Ray Tracing of a Paraxial Lens",
AA-2004-01. - Murison, M. A. (2000).
"Astrometric
Parameter Estimation Suitable for Simulations", AA-2000-07. - Murison, M. A. (2000).
"The Observation
Density and Scan Angle Distributions of a Spin-Stabilized, Precessing, Scanning
Satellite Instrument: I. Geometry", AA-2000-06. - Murison, M. A. (2000).
"Characteristics of
Selected Map Projections", AA-2000-05. - Murison, M. A. (2000).
"Ecliptic Coordinates
of the FAME Viewports and Symmetry Axis", AA-2000-04. - Murison, M. A. (2000).
"A Method
for Directly Generating a Gaussian Distribution with Nonunit
Variance and Nonzero Mean from Uniform Random Deviates", AA-2000-03. - Murison, M. A. (2000).
"Associated Legendre
Polynomials in sin(x) to Twelfth Order",
AA-2000-02. - Murison, M. A. (1999).
"Pseudo-High-Order
Symplectic Integrators",
AA-1999-16. - Murison, M. A. (1999).
"Modeling planetary motions:
why we care and how we do it",
AA-1999-15. - Murison, M. A. (1999).
"The
Magnetosphere and Solar Wind Environments", AA-1999-13. - Murison, M. A. (1999).
"Notes on How to
Numerically Calculate the Maximum Lyapunov Exponent",
AA-1999-11. - Murison, M. A. (1999).
"An
Automated Linear Least Squares Solution Generator",
AA-1999-10. - Murison, M. A. (1999).
"Stretching
of a Cable with a Weight Attached",
AA-1999-09. - Murison, M. A. (1999).
"Conversions
between Taylor Series and Orthogonal Polynomials",
AA-1999-08. - Murison, M. A. (1999).
"A
Cubic Transition Curve to Bridge a Discontinuity",
AA-1999-06. - Murison, M. A. (1998).
"A
Brief Summary of FAME Science",
AA-1998-19. - Murison, M. A. (1998).
"How to Rotate
a Vector",
AA-1998-18. - Murison, M. A. (1998).
"Series Solutions of
Kepler's Equation",
AA-1998-17. - Murison, M. A. (1998).
"A
Dynamical Survey of Inner Solar system Asteroids: Preliminary Results",
extended abstract for IAU Colloquium 172,
AA-1998-16. - Murison, M. A. (1998).
"Graphical Portraits of
Selected Coordinate Systems". - Murison, M. A. (1998).
"Calculation
of an Integral for FAME",
AA-1998-15. - Murison, M. A. (1998).
"Evaluation
of a Photon Sensitivity Integral for the FAME Instrument",
AA-1998-14. - Murison, M. A. (1998).
"A Symbolic
Newton-Raphson Method of Finding Roots",
AA-1998-13. - Murison, M. A. (1996).
"POINTS Science". - Murison, M. A. (1995).
"Temperature Gradient Sensitivity
of the FAME Basic Angle",
FTM-USNO-95-01, AA-1998-10. - Murison, M. A. (1995). "The Shape of a Beam Compressor Primary that Compensates for a Spherical Secondary", (GIF page images) TM95-05.
- Murison, M. A. (1995). "Expansion of Wavefront Errors in an Infinite Series of Zernike Polynomials", (GIF page images) TM95-04.
- Murison, M. A. (1995). "Sky Background in Space and the POINTS Limiting Magnitudes", TM95-01.
- Murison, M. A. (1993). "Ray Trace Analysis of Selected POINTS Optical Subsystems", TM93-08.
- Murison, M. A., and Noecker, M.C. (1993). "Ray Tracing of and Optical Path across a Holographic Optical Element", (GIF page images) TM93-04.
- Murison, M. A. (1991). "PEP Upgrade", TM91-05.