Constraints on Titan's topography through fractal analysis of shorelines

Icarus

Volumn 209, Issue 2, 2010, Pages 723-737

  Sharma, Priyanka ^a   Byrne, S ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

Geological processes; Radar observations; Satellites, Surfaces; Saturn, Satellites; Titan

Indexed keywords

EID: 77956285623     PISSN: 00191035     EISSN: 10902643     Source Type: Journal    
DOI: 10.1016/j.icarus.2010.04.023     Document Type: Article

References (42)

1. Andrle R. Estimating fractal dimension with the divider method in geomorphology. Geomorphology 1992, 5:131-141.
2. Appleby S. Multifractal characterization of the distribution pattern of the human population. Geogr. Anal. 1996, 28:147-160.
3. Barnes, J.W., and 19 colleagues, 2007. Near-infrared spectral mapping of Titan's mountains and channels. J. Geophys. Res. (Planets) 112, E11006.
4. Brown, R.H., and 21 colleagues, 2004. The Cassini Visual and Infrared Mapping Spectrometer (VIMS) investigation. Space Sci. Rev. 115, 111-168.
5. Brown R.H., Soderblom L.A., Soderblom J.M., Clark R.N., Jaumann R., Barnes J.W., Sotin C., Buratti B., Baines K.H., Nicholson P.D. The identification of liquid ethane in Titan's Ontario Lacus. Nature 2008, 454:607-610.
6. Chase C. Fluvial landsculpting and the fractal dimension of topography. Geomorphology 1992, 5:39-57.
7. Collins G.C. Relative rates of fluvial bedrock incision on Titan and Earth. Geophys. Res. Lett. 2005, 32:L22202.
8. Elachi, C., and 21 colleagues, 2004. Radar: The Cassini Titan Radar Mapper. Space Sci. Rev. 115, 71-110.
9. Elachi, C., and 34 colleagues, 2006. Titan Radar Mapper observations from Cassini's T3 fly-by. Nature 441, 709-713.
10. Hayes, A., and 13 colleagues, 2008. Hydrocarbon lakes on Titan: Distribution and interaction with a porous regolith. Geophys. Res. Lett. 35, L09204.
11. Khare, B.N., and 10 colleagues, 1984. The organic aerosols of Titan. Adv. Space Res. 4, 59-68.
12. Klinkenberg B. A review of methods used to determine the fractal dimension of linear features. Math. Geol. 1994, 26:23-46.
13. Kondev J., Henley C.L. Geometrical exponents of contour loops on random Gaussian surfaces. Phys. Rev. Lett. 1995, 74:4580-4583.
14. Kondev J., Henley C.L., Salinas D.G. Nonlinear measures for characterizing rough surface morphologies. Phys. Rev. E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 2000, 61:104-125.
15. Kucinskas A.B., Turcotte D.L. Isostatic compensation of equatorial highlands on Venus. Icarus 1994, 112:104-116.
16. Lifton N.A., Chase C.G. Tectonic, climatic and lithologic influences on landscape fractal dimension and hypsometry: Implications for landscape evolution in the San Gabriel Mountains, California. Geomorphology 1992, 5:77-114.
17. Longley P.A., Batty M. On the fractal measurement of geographical boundaries. Geogr. Anal. 1989, 21:47-67.
18. Lopes, R.M.C., and 43 colleagues, 2007. Cryovolcanic features on Titan's surface as revealed by the Cassini Titan Radar Mapper. Icarus 186, 395-412.
19. Lorenz, R.D., Radebaugh, J., 2009. Global pattern of Titan's dunes: Radar survey from the Cassini prime mission. Geophys. Res. Lett. 36, L03202.
20. Lorenz, R.D., and 39 colleagues, 2006. The sand seas of Titan: Cassini RADAR observations of longitudinal dunes. Science 312, 724-727.
21. Lorenz, R.D., and 11 colleagues, 2007. Titan's young surface: Initial impact crater survey by Cassini RADAR and model comparison. Geophys. Res. Lett. 34, L07204.
22. Lunine J.I., Atreya S.K. The methane cycle on Titan. Nat. Geosci. 2008, 1:159-164.
23. Malamud B.D., Turcotte D.L. Self-affine time series. I. Generation and analyses. Adv. Geophys. 1999, 40:1-90.
24. Mandelbrot B. How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science 1967, 156:636-638.
25. Mandelbrot B. The Fractal Geometry of Nature 1982, Freeman, San Francisco.
26. Mark D.M., Aronson P.B. Scale-dependent fractal dimensions of topographic surfaces: An empirical investigation with applications in geomorphology and computer mapping. Math. Geol. 1984, 16:671-683.
27. Mitchell, K.L., Kargel, J.S., Wood, C.A., Radebaugh, J., Lopes, R.M.C., Lunine, J.I., Stofan, E.R., Kirk, R.L., and the Cassini Radar Team, 2007. Titan's crater lakes: Caldera vs. karst. Lunar Planet. Sci. 38, 2064 (abstracts).
28. Paillou, P., and 9 colleagues, 2008. Microwave dielectric constant of liquid hydrocarbons: Application to the depth estimation of Titan's lakes, Geophys. Res. Lett. 35, L05202.
29. Radebaugh, J., Lorenz, R.D., Kirk, R.L., Lunine, J.I., Stofan, E.R., Lopes, R.M.C., Wall, S.D., and the Cassini Radar Team, 2007. Mountains on Titan observed by Cassini Radar. Icarus 192, 77-91.
30. Radebaugh, J., and 15 colleagues, 2008. Dunes on Titan observed by Cassini Radar. Icarus 194, 690-703.
31. Rapp R.H. The decay of the spectrum of the gravitational potential and the topography for the Earth. Geophys. J. Int. 1989, 99:449-455.
32. Richardson, L.F., 1961. General Systems Yearbook, vol. 6, p. 139.
33. Sharma, P., Byrne, S., 2008a. Constraints on Titan's topography through fractal analysis of shorelines. In: AGU Fall Meeting, p. A1320 (abstracts).
34. Sharma, P., Byrne, S., 2008b. Constraints on Titan's topography through fractal analysis of shorelines. Lunar Planet. Sci. 39, 2145 (abstracts).
35. Soderblom, L.A., and 18 colleagues, 2007. Topography and geomorphology of the Huygens landing site on Titan. Planet. Space Sci. 55, 2015-2024.
36. Stiles, B., 2005. Cassini Radar Basic Image Data Records. SIS, JPL D-27889.
37. Stofan, E.R., and 37 colleagues, 2007. The lakes of Titan. Nature 445, 61-64.
38. Tatsumi J., Yamauchi A., Kono Y. Fractal analysis of plant root systems. Ann. Bot. 1989, 64:499-503.
39. Tomasko, M.G., and 39 colleagues, 2005. Rain, winds and haze during the Huygens probe's descent to Titan's surface. Nature 438, 765-778.
40. Turcotte D.L. Fractals and Chaos in Geology and Geophysics 1997, Cambridge University Press, Cambridge. second ed.
41. Turtle E.P., Perry J.E., McEwen A.S., DelGenio A.D., Barbara J., West R.A., Dawson D.D., Porco C.C. Cassini imaging of Titan's high-latitude lakes, clouds, and south-polar surface changes. Geophys. Res. Lett. 2009, 36:2204.
42. Voss, R., 1988. Fractals in Nature: From characterization to simulation. In: Peitgen, Heinz-Otto, Saupe, Dietmar (Eds.), The Science of Fractal Images. Springer Press, pp. 21-70.