A triaxial reference ellipsoid for the Earth

نویسندگان

چکیده

Abstract We present a new, physically motivated triaxial reference ellipsoid for the Earth. It is an equipotential surface in gravity field and closely approximates geoid, akin to conventional of revolution. According Burša Fialová (Studia Geophysica et Geodaetica 37(1):1–13, 1993), uniquely, but not exclusively, specified by body’s total mass, dynamic form factors polar equatorial flattening, longitude major axis, rotation rate, designated potential. model using ellipsoidal harmonics. While they are rarely considered practical near-spherical planets, we leverage intrinsic property that harmonics yield exact expression constant potential on ellipsoid. A procedure proposed solve parameters converge iteratively fulfill condition equipotentiality. solution Earth Gravitational Model 2008.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Orientation of the Geometrically Best fitting Triaxial Lunar Ellipsoid with Respect to the Mean Earth/Polar Axis Reference Frame

This study provides new estimates for the orientation of a geometrically best fitting lunar triaxial ellipsoid with respect to the mean Earth/polar axis reference frame calculated from the footprint positions of the Chang'E-1 (CE-1), SELenological and ENgineering Explorer (SELENE) laser altimetry measurements and Unified Lunar Control Networks 2005, (ULCN 2005) station coordinates. The semi-pri...

متن کامل

Algebraic Closed Geodesics on a Triaxial Ellipsoid *

We propose a simple method of explicit description of families of closed geodesics on a triaxial ellipsoid Q that are cut out by algebraic surfaces in R. Such geodesics are either connected components of spatial elliptic curves or of rational curves. Our approach is based on elements of the Weierstrass–Poncaré reduction theory for hyperelliptic tangential covers of elliptic curves, the addition...

متن کامل

Inertial modes in a rotating triaxial ellipsoid.

In this work, we present an algorithm that enables computation of inertial modes and their corresponding frequencies in a rotating triaxial ellipsoid. The method consists of projecting the inertial mode equation onto finite-dimensional bases of polynomial vector fields. It is shown that this leads to a well-posed eigenvalue problem, and hence, that eigenmodes are of polynomial form. Furthermore...

متن کامل

Reference Ellipsoid and Geoid in Chronometric Geodesy

Chronometric geodesy applies general relativity to study the problem of the shape of celestial bodies including the earth, and their gravitational field. The present paper discusses the relativistic problem of construction of a background geometric manifold that is used for describing a reference ellipsoid, geoid, the normal gravity field of the earth and for calculating geoid’s undulation (hei...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of geodesy

سال: 2023

ISSN: ['1432-1394', '0949-7714']

DOI: https://doi.org/10.1007/s00190-023-01717-1