Algorithm of orbit determination using one or two GPS satellites

The problem of orbit determination using one or two GPS satellites is discussed. Methods of getting initial values based on linear translation is presented; the Secant method and the descend Newton iterative procedure and the continuation algorithm are used synthetically to solve the nonlinear equations. Computer simulation shows that this algorithm can give preliminary state of satellite orbit with a certain precision in short time.     

Hybrid subconvexity bounds for twisted L-functions on GL(3)

Let q be a large prime, and χ the quadratic character modulo q. Let Φ be a self-dual Hecke-Maass cusp form for SL(3, Z), and uj a Hecke-Maass cusp form for Γ0(q) ? SL(2, Z) with spectral parameter tj. We prove, for the first time, some hybrid subconvexity bounds for the twisted L-functions on GL(3), such as L(1/2, Φ× uj ×χ) ?_(Φ,ε)(q(1 + |tj |))~(3/2-θ+ε) and L(1/2 + it, Φ×χ) ?_(Φ,ε)(q(1 + |t|))~(3/4-θ/2+ε) for any ε 0, where θ = 1/23 is admissible. The proofs depend on the first moment of a family of L-functions in short intervals. In order to bound this moment, we first use the approximate functional equations, the Kuznetsov formula, and the Voronoi formula to transform it to a complicated summation, and then we apply different methods to estimate it, which give us strong bounds in different aspects. We also use the stationary phase method and the large sieve inequalities.     

Mollification and non-vanishing of automorphic <Emphasis Type="Italic">L</Emphasis>-functions On GL(3)

We prove a non-vanishing result for central values of L-functions on GL(3), by using the mollification method and the Kuznetsov trace formula.     

25MeV/u 40Ar+197Au反应中相对态布居与发射温度的提取

在25MeV/u ⁴⁰Ar+¹⁹⁷Au反应中,对两粒子小相对动量的关联进行了测量,由P-t、α-α关联函数提取出⁴He、⁸Be的相对态布居.在对影响⁸Be态布居的跟随衰变作了仔细修正后得到的温度为3.5±0.81.3MeV;对⁴He_g.s.引入30%跟随衰变产额修正后温度为3.6±0.4MeV.     

展宽重离子束的Bragg峰

介绍了自行设计加工的用于对重离子束Bragg峰进行展宽的旋转式射程调制器. 实验上运用双电离室法测定了75MeV/u ¹²C离子束的Bragg曲线以及经该射程调制器调制的75MeV/u ¹⁶O及¹²C离子束的Bragg曲线,调制的离子束展示出明显展宽的Bragg峰,并将测量结果同计算结果进行了比较.     

Averages of coefficients of a class of degree 3 L-functions

The Ramanujan Journal - In this note, we give a detailed proof of an asymptotic for averages of coefficients of a class of degree three L-functions which can be factorized as a product of a degree...