{"id":"vidhyamitra:day:2077-10-05:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2077-10-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2077-10-05","date_display":"October 5, 2077 CE","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":2077,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479946.770833,"kali_year":5179,"ahargana":1891481.2708,"sun":{"sidereal_longitude":166.5917,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.2367,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.645,"elapsed_within_tithi_degrees":3.645},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":26.2367,"elapsed_within_degrees":12.9034},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.8284},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2077,"month":10,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479946.770833,"ahargana":1891481.2708,"kali_year":5179,"ayanamsa_lahiri":24.9393,"grahas":{"sun":{"sidereal_longitude":167.525354,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"moon":{"sidereal_longitude":29.271454000000006,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false,"latitude":-1.0863},"mars":{"sidereal_longitude":124.08755399999995,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":174.39905399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":200.144454,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":213.01005399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":249.54335400000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":40.2198,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.2198,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"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":2077,"month":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479946.770833,"kali_year":5179,"ahargana":1891481.2708,"sun":{"sidereal_longitude":166.5917,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":26.2367,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.645,"elapsed_within_tithi_degrees":3.645},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":26.2367,"elapsed_within_degrees":12.9034},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.8284},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.086,"elongation":140.355},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.086,"opposition_distance":39.645}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2134,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1999,"saka_samvatsara":"Hemalambī","bengali_samvat":1484,"malayalam_era":1253,"nanakshahi_year":608,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturthī · Vikram 2134 Sādhāraṇa · Śaka 1999 Hemalambī"},"festivals":[{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2077-10-05T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga October 5, 2077 CE · Vidhyamitra","description":"Vedic pañchāṅga for October 5, 2077 CE: Kṛṣṇa Caturthī · Bharaṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2077-10-05","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2077-10-05","sa":"https://sa.vidhyamitra.com/day/2077-10-05","hi":"https://hi.vidhyamitra.com/day/2077-10-05","x-default":"https://vidhyamitra.com/day/2077-10-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:41:00.592Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:41:00.592Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}