Her Royal Glory...

बहुग्वै बह्वश्वायै बह्वजाविकायै बहुव्रीहियवायै बहुमाषातिलायै बहुहिरण्यायै बहुहस्तिकायै बहुदासपुरुषायै रयिमत्यै पुष्टिमत्यै बहुरायस्फोषायै राजाऽस्तु।

bahugvai bahvaśvāyai bahvajāvikāyai bahuvrīhiyavāyai bahumāṣātilāyai bahuhiraṇyāyai bahuhastikāyai bahudāsapuruṣāyai rayimatyai puṣṭimatyai bahurāyasphoṣāyai rājā'stu|
तैत्तिरीय ब्राह्मणं ३-८-५-३  taittireeya brahmanam 3-8-5-3
आपस्तम्ब श्रौत सूत्रं २०-४-३ Apastamba srautasutram 20-4-3

this is the mantra we offer to Rajarajeswari.. Amba while offering Raajopachaaram.. the honour meant for the supreme ruler, the queen (श्री महाराज्ञी)

meaning..

May Her kingdom be there.. 

She is having innumerable Cows, Innumerable Horses, innumerable cattle, paddy, maize, pulses and sesame in plentiness,

possesses huge treasures by way of Gold, 

has large number of Elephants, 

have many servants faithful to her in service, she is resplendant and glorious,

she is healthy and is harbinger of progress,

and 

her reign is full of celebrations and festivities..