Michael,
The points you listed are
all DEM artifacts -- not real lunar features -- with the exception of the one at "32 26 S, 58 57 E" which is possibly a typo. Unless I am continuing to suffer from my coordinate-conversion handicap, I can find no anomaly in the global DEM at 58.95°E/32.43°S...
On the other hand, there are many digital blips not in your list (as well as real lunar features that are missing from the DEM, presumably due to a lack of laser hits). Many of the bad points stand out so much they can be spotted simply by roaming over the raw DEM in grayscale rendition. For example, in Mare Serenitatis, at 16.60°E/21.38°N, there are a couple of bad points with 4-5 km of upward relief (rendered as a fictitious crater just west of Bessel in your maps) that are definitely not present on the Moon (see the attachments for the bad points in the grayscale DEM and the false shadow it generates in the LTVT simulation for tonight's Moon).
Despite its occasional defects, the key point, I think, is that Kaguya's global LALT DEM looks remarkably accurate, overall.
Regarding "the mean error in elevation measurements for Kaguya timing data" the following is the official statement (and explanation, rather opaque to me) in the article "Lunar Global Shape from Kaguya-LALT Laser Altimetry" by H. Araki, et al.
Science 323, 897 (2009) by Araki et al. Others better qualified than I can evaluate if they are saying the Kaguya surface positions and elevations are semi-independent of earlier lunar control work. If so, then the agreement of positions, at least, with ULCN2005 is impressive.
-- Jim
QUOTE
Text:
Topography data were produced by incorporating precise orbits for the Kaguya main orbiter. These orbits are calculated from twoway Doppler data by the GEODYN-II software using the latest lunar gravity model SGM90em (SELENE Gravity Model) that is an adapted version of the model SGM90d for the purpose of orbit determination (10–12). Orbit precision is determined from orbit differences during overlapping parts, showing that the radial orbit error is generally within 1 m (13) and the total positioning error (computed using the root sum square over the radial, along-track, and crosstrack directions) is found to be ~50 m. Thus, the radial topographic error originated from the orbit repeatability is 1 m (1 SD), the instrumental error is 0.55 m (1 SD), and the instrument range shift is between +2.5 m and +12 m (8, 9), which are summarized +/-4.1 m (1 SD) as the final budget where the range shift is incorporated as 4 m (1 SD). In the same way, the horizontal topographic error originated from the orbit repeatability is 50 m (1 SD), the pointing error is 175 m (maximum), and the time-tag error is 1.5 m (maximum), which are summarized as +/-77 m (1 SD) as the final budget (14).
References and Notes:
8. H. Araki et al., Adv. Space Res. 42, 317 (2008).
9. One remaining concern is about systematic errors in measurements of pulse arrivals due to distortion of the return pulse caused by the sloped and/or rough target terrain in combination with unknown albedo effects. This error (range shift) may result in underestimates of ranges by 12 m in the very worst case of 30° slope and 30% surface reflectance before the pulse spreading correction. For moderately flat surfaces, systematic range errors are expected to be 2.5 m (8).
10. D. E. Pavlis et al., “GEODYN II system description, vols. 1-5,” Contractor Report, SGT Inc. (2006).
11. J. J. McCarthy, “SOLVE program user's guide,” Contractor Report between NASA/GSFC and Hughes/STX (2007).
12. N. Namiki et al., Science 323, 900 (2009).
13. Orbits are determined by full-scale precision force and measurement modeling. For each data arc, estimated parameters include the state vector at epoch, a solar radiation pressure coefficient, empirical accelerations with a once per orbital revolution signature in the along-track and cross-track direction, and measurement biases to absorb systematic effects and mismodeling. Orbit precision has been evaluated by computing orbit overlap differences. Overlap analysis showed a radial consistency of 1 m in general, with outliers (that were excluded from topography data processing) up to 4 m.
14. The pointing error is considered to be <0.1° (175 m for 100-km altitude), based on the thermal and other deformation analysis of the main orbiter. Time-tag error is <1 msec (1.5 m along-track for 100-km altitude) through the correction that takes into account the propagation time from the main orbiter to each station and the processing delay on each tracking station. These values (175 m and 1.5 m) are incorporated into the final budget as 3 SD errors.