{"id":"vidhyamitra:day:-3156-08-26:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/-3156-08-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-08-26","date_display":"August 26, 3157 BCE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3156,"month":8,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568566.770833,"kali_year":-54,"ahargana":-19898.7292,"sun":{"sidereal_longitude":185.5123,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":249.6176,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.1053,"elapsed_within_tithi_degrees":4.1053},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.6176,"elapsed_within_degrees":9.6176},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.13},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":-3156,"month":8,"day":26,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568566.770833,"ahargana":-19898.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1639,"grahas":{"sun":{"sidereal_longitude":185.5123,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":249.6176,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false,"latitude":4.4808},"mars":{"sidereal_longitude":50.112,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":210.469,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":153.4215,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":174.7788,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":59.0193,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":154.3304,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":334.3304,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3156,"month":8,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568566.770833,"kali_year":-54,"ahargana":-19898.7292,"sun":{"sidereal_longitude":185.5123,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":249.6176,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.1053,"elapsed_within_tithi_degrees":4.1053},"nakshatra":{"number":19,"name":"Mūla","pada":3,"moon_longitude":249.6176,"elapsed_within_degrees":9.6176},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.13},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.481,"elongation":64.105},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.481,"opposition_distance":115.895}},"eclipse_window_40days":[{"offset_days":-20,"type":"lunar","occurs":true,"moon_latitude":-0.979,"opposition_distance":2.296}]},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Ṣaṣṭhī · Vikram -3099 undefined · Śaka -3234 undefined"},"festivals":[{"id":"chhath-puja","name":"Chhaṭh Pūjā","name_sanskrit":"छठ पूजा","tradition":"Regional","associated_deity":"Sūrya + Chhaṭhī Mātā","significance":"Bihar/UP festival worshiping Sūrya. 6th day of Kārtika Śukla.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Kārtika"},"precedence":2},{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 26, 3157 BCE · Vidhyamitra","description":"Vedic pañchāṅga for August 26, 3157 BCE: Śukla Ṣaṣṭhī · Mūla.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/-3156-08-26","hreflang_alternates":{"en":"https://vidhyamitra.com/day/-3156-08-26","sa":"https://sa.vidhyamitra.com/day/-3156-08-26","hi":"https://hi.vidhyamitra.com/day/-3156-08-26","x-default":"https://vidhyamitra.com/day/-3156-08-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T07:50:51.759Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-15T07:50:51.759Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}