--svatantramasvantantraM cha dvividhaM tatvaMishyate--
--svatantro bhagavAn vishnuH--
Sri Madhvacharya, in his tatvasaMkhyAna
Dasharatha-krutha Shani Stothra
I found a rare stothra composed by no less than the father of Lord Raama, Dasharatha, as given in Brahmaanda Puraana, translated by Dr Robert E Svoboda (who lived in India for a while learning Aurveda).
Here it is (to be recited by everyone in the morning, as really, the author (Svoboda) says, the Lord of Astrology IS Shani, not any other planet.
Shani Dasanaama Stotra (if you really cannot for any reason chant the full version below, say this single shloka)
Konastha pingalobabhruh
Krishnoroudraantakoyamah
Souri, shanaischaro mandah
Pippaladishu sansthitah
____________________________________________________
Dasaratha Shani Stotram (full)
____________________________________________________
Om. asya shree shanaishchara stotrasya
dashratha rishi
shanaish-charo-devata
trishtup chandahah
shanaish-chara preety-arthe jape viniyogah*
Om. Sri Shani Stotra, Dasharatha is the Rishi (seer of the mantra). Shanaishchara is god (related to this hymn). Trishtup is metre. Enjoined is repetition (of this hymn) for the appeasement of Shanaishchara (Saturn)
dasharatha uvacha
*kono-antaka roudra-yama-tha babhruh
krishnah shanih pingala manda sourih
nityam smrito yo harate cha peedam
tasmai namah shree ravi-nandanaya*
Prostrations to Sri Ravinandana (Saturn), who when regularly remembered as (the ten names listed in the first and second line of this verse) steals away the suffering (misfortune of the devotee).
sura asurah kim purusha ragendra
gandharva vidyadhara panna-gash cha
peedyanti sarve vishama-stitena
tasmai namah shree ravi-nandanaya
Prostrations to Sri Ravinandana, by whose unfavourable position, gods, demons, celestial beings, celestial musicians, celestial masters of various wisdom-teachings and even celestial snakes succumb to sufferings
nara narendra pashavo mrigendra
vanyas-cha ye keeta-patanga-bringah
peedyanti sarve vishama-stitena
tasmai namah shree ravi-nandanaya
Prostrations to Sri Ravinandana, whose unfavourable position brings agony to laymen, emperors, common animals, huge animals, forest creatures, insects, flies and humming bees (irrespective of their status)
desah-cha durgani vanani Yatra
sena-nivesah pura-pattnani
peedyanti sarve visham-stitena
tasmai namah shree ravi-nandanaya
Prostrations to Sri Ravinandana, whose unfavourable position brings about suffering to countries, citadels, forests, war-camps, houses and cities
tilairya-vair-masha gudanna danaih
lohena neelambara danato va
preenati mantrair-nijavasare cha
tasmai namah shree ravi-nandanaya
Prostrations to Sri Ravinandana, who is appeased by giving in charity things like sesame, paddy, black-gram, molasses, rice pudding, iron, dark-blue cloth (Ed: Neela is also black) etc., and by chanting mantras on his own day (Saturday)
prayaga-koole Yamuna tate cha
sarasvati punya-jale guhayam
yo yoginam dhyana-gatopi sookshmas
tasmai namah shree ravi-nandanaya
Prostrations to Sri Ravinandana, who manifests in subtle form before the yogis who meditate on him at any holy bank of prayag (confluence) of two rivers; Yamuna and Saraswati, or in a cave
anya-pradeshat swagriham pravishtas
tadeeya-vare sa narah sukhe syat
grihad gato yo na punah prayati
tasmai namah sri ravi-nandanaya
Prostrations to Sri Ravinandana, who bestows happiness to a person when He enters His own house (constellation); (though) when He leaves the house, does not return for a long time
srashta swayam-bhoor bhuvana trayasya
trata hareesho harate pinakee
ekas tridhah rig yajuh sama murtis
tasmai namah sri ravi-nandanaya
Prostrations to Sri Ravinandana, who is the creator of three worlds, who is the self-manifested being, who is Hari the protector and Pinakin (Siva, bearer of the three pointed spear or pinaka), the destroyer, all in one, as well as the embodiment of the three-fold Vedas; Rig, Yajus and Saman
konasthah pingala babruh
krishno roudroantako yamah
sourih shanaish-charo manday
pippalandena sam stutah
Thus, Pippalada praises Thee (by chanting your ten names as contained in lines 1-3)
etani dasha-namani
pratar-uthaya yah pathet
shanaishchara-krita peeda
na kadachid bhavishyati
Harih Om
He who chants these ten names, getting-up early in the morning, will never suffer from the pain caused by Saturn. Harih Om
_________________________________________________________________
Also see my Shanaischara-krutha Narasimha Stuthi posting