Rishi: Yājñavalkya-tradition (Śukla-Yajurvedic Adhvaryu lineage; specific ṛṣi attribution not explicit in the provided excerpt).
Devata: Agni Gṛhapati (Agni as Lord of the House; specifically the Gārhapatya aspect).
Chandas: Yajus (prose formula with rhythmic cola; not a fixed Ṛgvedic metre).
Samhita Patha (Devanagari)अग्ने॑ गृहपते सुगृहप॒तिस्त्वया॑ग्ने॒ऽहं गृ॒हप॑तिना भूयासᳪ सुगृहप॒तिस्त्वं मया॑ऽग्ने गृ॒हप॑तिना भूयाः । अ॒स्थू॒रि णौ॒ गार्ह॑पत्यानि सन्तु श॒तᳪ हिमा॒: सूर्य॑स्या॒वृत॒मन्वाव॑र्ते
Transliterationágnē gṛhapatē sugṛhapatís tváyāgnē ’háṃ gṛhápatinā bhūyāsaṃ sugṛhapatís tváṃ máyāgnē gṛhápatinā bhūyāḥ | ásthūri nau gārhapatyā́ni santu śatáṃ himā́ḥ sū́ryasyā́vṛtám ánvāvartē
Translationഹേ അഗ്നേ, ഗൃഹപതേ! നിനക്കൊപ്പമായി, ഹേ അഗ്നേ, ഞാൻ സുഗൃഹപതിയായി ഗൃഹപതിയാകട്ടെ; ഹേ അഗ്നേ, എനിക്കൊപ്പമായി നീയും സുഗൃഹപതിയായി ഗൃഹപതിയാകുക. ഞങ്ങളിരുവര്ക്കും ഗാർഹപത്യസംബന്ധമായവ അഖണ്ഡമായിരിക്കട്ടെ; സൂര്യന്റെ മടങ്ങിവരുന്ന ഗതി നൂറു ഹിമങ്ങൾ (വർഷങ്ങൾ) വരെ അനുഗമിക്കട്ടെ.
Padapatha (Word Analysis)अग्ने । गृह-पते । सु-गृह-पतिः । त्वया । अग्ने । अहम् । गृह-पतिना । भूयासम् । सु-गृह-पतिः । त्वम् । मया । अग्ने । गृह-पतिना । भूयाः । अ-स्थूरि । नौ । गार्ह-पत्यानि । सन्तु । शतम् । हिमाः । सूर्यस्य । आवृतम् । अनु-आ-वर्ते
Word by WordगृहपतेO lord of the house सुगृहपतिःa good house-lord गृहपतिनाas/with (the status of) house-lord सुगृहपतिःa good house-lord गृहपतिनाas/with (the status of) house-lord अस्थूरि(let there be) an unbroken/firm foundation (lit. a firm spreading/bed) गार्हपतानि(things) belonging to the Gārhapatya (household fire) आवृतम्the turning/returning (course); the circuit आवर्ततेturns/returns; revolves 
Entities MentionedA
Agni Gṛhapati (Gārhapatya Agni) Viniyoga (Ritual Application)