{"id":"vidhyamitra:city-day:badrinath:2103-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/badrinath/2103-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-04","date_display":"January 4, 2103 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":2103,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489167.770833,"kali_year":5204,"ahargana":1900702.2708,"sun":{"sidereal_longitude":257.2125,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":196.9899,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.7774,"elapsed_within_tithi_degrees":11.7774},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":196.9899,"elapsed_within_degrees":10.3233},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.2024},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2103,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489167.770833,"ahargana":1900702.2708,"kali_year":5204,"ayanamsa_lahiri":25.2919,"grahas":{"sun":{"sidereal_longitude":257.68044399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":195.185344,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false,"latitude":-4.3393},"mars":{"sidereal_longitude":243.70324400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":235.23524399999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":251.39204400000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"venus":{"sidereal_longitude":279.78694399999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":212.10494400000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":271.6469,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":91.6469,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"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":2103,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489167.770833,"kali_year":5204,"ahargana":1900702.2708,"sun":{"sidereal_longitude":257.2125,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":196.9899,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":299.7774,"elapsed_within_tithi_degrees":11.7774},"nakshatra":{"number":15,"name":"Svātī","pada":4,"moon_longitude":196.9899,"elapsed_within_degrees":10.3233},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":94.2024},"karana":{"half_tithi_index":49,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.339,"elongation":60.223},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.339,"opposition_distance":119.777}},"eclipse_window_40days":[{"offset_days":5,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631},{"offset_days":19,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"tier2":{"city":{"slug":"badrinath","name":"Badarīnāth","lat":30.7433,"lon":79.4938,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha","elevation_m":3133},"sunriseLocal":"07:11","sunsetLocal":"17:23","solarNoonLocal":"12:17","dayLengthHours":10.213530160499168,"dayLengthDisplay":"10 Hours 12 Mins 49 Secs","nightLengthDisplay":"13 Hours 47 Mins 11 Secs","moonriseLocal":"02:41","moonsetLocal":"13:33","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"14:50","startHours":13.560836384484833,"endHours":14.83752765454723,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:27","startHours":7.177380034172853,"endHours":8.45407130423525,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:44","end":"11:00","startHours":9.730762574297646,"endHours":11.007453844360041,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:34","end":"09:54","startHours":9.560537071622658,"endHours":9.90098807697263,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.602943790860318,"endHours":7.875304595140296,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:37","startHours":11.943694109072464,"endHours":12.62459611977241,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:49","end":"06:30","startHours":5.815576012772964,"endHours":6.496478023472909,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:20","end":"07:11","startHours":6.326252520797922,"endHours":7.177380034172853,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.986400141172298,"endHours":14.667302151872242,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:11","end":"17:35","startHours":17.19091019467202,"endHours":17.59091019467202,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:23","end":"17:49","startHours":17.39091019467202,"endHours":17.816473951359487,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:08","end":"18:53","startHours":17.14091019467202,"endHours":18.89091019467202,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:37","startHours":23.943694109072464,"endHours":24.62459611977241,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:11","end":"08:27","startHours":7.177380034172853,"endHours":8.45407130423525,"quality":"auspicious"},{"name":"Roga","start":"08:27","end":"09:44","startHours":8.45407130423525,"endHours":9.730762574297646,"quality":"inauspicious"},{"name":"Udveg","start":"09:44","end":"11:00","startHours":9.730762574297646,"endHours":11.007453844360041,"quality":"inauspicious"},{"name":"Chala","start":"11:00","end":"12:17","startHours":11.007453844360041,"endHours":12.284145114422437,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:34","startHours":12.284145114422437,"endHours":13.560836384484833,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"14:50","startHours":13.560836384484833,"endHours":14.83752765454723,"quality":"auspicious"},{"name":"Kāla","start":"14:50","end":"16:07","startHours":14.83752765454723,"endHours":16.114218924609624,"quality":"inauspicious"},{"name":"Śubha","start":"16:07","end":"17:23","startHours":16.114218924609624,"endHours":17.39091019467202,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:23","end":"19:07","startHours":17.39091019467202,"endHours":19.114218924609624,"quality":"auspicious"},{"name":"Kāla","start":"19:07","end":"20:50","startHours":19.114218924609624,"endHours":20.83752765454723,"quality":"inauspicious"},{"name":"Śubha","start":"20:50","end":"22:34","startHours":20.83752765454723,"endHours":22.560836384484833,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"00:17","startHours":22.560836384484833,"endHours":24.284145114422437,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"02:00","startHours":24.284145114422437,"endHours":26.00745384436004,"quality":"inauspicious"},{"name":"Chala","start":"02:00","end":"03:44","startHours":26.00745384436004,"endHours":27.730762574297643,"quality":"neutral"},{"name":"Labha","start":"03:44","end":"05:27","startHours":27.730762574297643,"endHours":29.45407130423525,"quality":"auspicious"},{"name":"Amṛta","start":"05:27","end":"07:11","startHours":29.45407130423525,"endHours":31.177380034172852,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.177380034172853,"endHours":8.177380034172852,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.177380034172852,"endHours":9.177380034172852,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.177380034172852,"endHours":10.177380034172852,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.177380034172852,"endHours":11.177380034172852,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.177380034172852,"endHours":12.177380034172852,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.177380034172852,"endHours":13.177380034172852,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.177380034172852,"endHours":14.177380034172852,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.177380034172852,"endHours":15.177380034172852,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.177380034172852,"endHours":16.177380034172852,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.177380034172852,"endHours":17.177380034172852,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.177380034172852,"endHours":18.177380034172852,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.177380034172852,"endHours":19.177380034172852,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.177380034172852,"endHours":20.177380034172852,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.177380034172852,"endHours":21.177380034172852,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.177380034172852,"endHours":22.177380034172852,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.177380034172852,"endHours":23.177380034172852,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.177380034172852,"endHours":24.177380034172852,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.177380034172852,"endHours":25.177380034172852,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.177380034172852,"endHours":26.177380034172852,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.177380034172852,"endHours":27.177380034172852,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.177380034172852,"endHours":28.177380034172852,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.177380034172852,"endHours":29.177380034172852,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.177380034172852,"endHours":30.177380034172852,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.177380034172852,"endHours":31.177380034172852,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.80411196364003,"eotMinutes":-5.02390686534617,"ayanamsa":25.2919}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Daśamī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"badrinath"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 4, 2103 CE · Badarīnāth · Vidhyamitra","description":"January 4, 2103 CE for Badarīnāth: Kṛṣṇa Daśamī, sūryodaya 07:11, sūryāsta 17:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/badrinath/2103-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/badrinath/2103-01-04","sa":"https://sa.vidhyamitra.com/city/badrinath/2103-01-04","hi":"https://hi.vidhyamitra.com/city/badrinath/2103-01-04","x-default":"https://vidhyamitra.com/city/badrinath/2103-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T13:00:15.023Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-01T13:00:15.023Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T13:00:15.023Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}