The Kuiper belt includes tens of thousands of large bodies and millions of smaller objects .
The main part of the belt objects is located in the annular zone between 39.4 au and 47.8 au from the Sun , the boundaries correspond to the average distances for orbital resonances 3:2 and 2:1 with the motion of Neptune .
One-dimensional , two-dimensional , and discrete rings to model the total gravitational attraction of numerous belt objects are considered .
The discrete rotating model most correctly reflects the real interaction of bodies in the Solar system .
The masses of the model rings were determined within EPM2017—the new version of ephemerides of planets and the Moon at IAA RAS—by fitting spacecraft ranging observations .
The total mass of the Kuiper belt was calculated as the sum of the masses of the 31 largest trans-neptunian objects directly included in the simultaneous integration and the estimated mass of the model of the discrete ring of TNO .
The total mass is ( 1.97 \pm 0.30 ) \cdot 10 ^ { -2 } m _ { \oplus } .
The gravitational influence of the Kuiper belt on Jupiter , Saturn , Uranus and Neptune exceeds at times the attraction of the hypothetical 9th planet with a mass of \sim 10 m _ { \oplus } at the distances assumed for it .
It is necessary to take into account the gravitational influence of the Kuiper belt when processing observations , and only then to investigate residual discrepancies to discover a possible influence of a distant large planet .

\PACS 95.10.Ce 96.12.De 96.12.Fe 96.20.-n 96.30.-t