{"id":"vidhyamitra:city-day:vrindavan:2072-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2072-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-01-05","date_display":"January 5, 2072 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":2072,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477846.770833,"kali_year":5173,"ahargana":1889381.2708,"sun":{"sidereal_longitude":259.2908,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":68.455,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.1642,"elapsed_within_tithi_degrees":1.1642},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.455,"elapsed_within_degrees":1.7883},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.7458},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"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":2072,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477846.770833,"ahargana":1889381.2708,"kali_year":5173,"ayanamsa_lahiri":24.8589,"grahas":{"sun":{"sidereal_longitude":259.668589,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":69.57288900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":-4.4667},"mars":{"sidereal_longitude":87.09468900000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":248.144589,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":30.629989000000023,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":225.18768899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":196.21648900000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":151.4879,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.4879,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2072,"month":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477846.770833,"kali_year":5173,"ahargana":1889381.2708,"sun":{"sidereal_longitude":259.2908,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":68.455,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":169.1642,"elapsed_within_tithi_degrees":1.1642},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":68.455,"elapsed_within_degrees":1.7883},"yoga":{"number":25,"name":"Brahma","sum_longitude":327.7458},"karana":{"half_tithi_index":28,"name":"Viṣṭi"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.467,"elongation":169.164},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.467,"opposition_distance":10.836}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:11","sunsetLocal":"17:39","solarNoonLocal":"12:25","dayLengthHours":10.461735151840543,"dayLengthDisplay":"10 Hours 27 Mins 42 Secs","nightLengthDisplay":"13 Hours 32 Mins 18 Secs","moonriseLocal":"16:49","moonsetLocal":"06:40","rahuKala":{"name":"Rāhu Kāla","start":"15:02","end":"16:20","startHours":15.029026631696187,"endHours":16.336743525676255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:48","end":"11:06","startHours":9.798159055775916,"endHours":11.105875949755983,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"13:43","startHours":12.413592843736051,"endHours":13.721309737716119,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.62379680324524,"endHours":9.972521308306591,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.618630899142469,"endHours":7.897610503191551,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.0648683386747,"endHours":12.762317348797403,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.787827247570374,"endHours":6.4852762576930765,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.3109140051624015,"endHours":7.18272526781578,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.15721536904281,"endHours":14.854664379165513,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.444460419656323,"endHours":17.844460419656322,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:05","startHours":17.644460419656323,"endHours":18.080366050983013,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.394460419656323,"endHours":19.144460419656323,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.0648683386747,"endHours":24.762317348797403,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:11","end":"08:29","startHours":7.18272526781578,"endHours":8.490442161795848,"quality":"inauspicious"},{"name":"Udveg","start":"08:29","end":"09:48","startHours":8.490442161795848,"endHours":9.798159055775916,"quality":"inauspicious"},{"name":"Chala","start":"09:48","end":"11:06","startHours":9.798159055775916,"endHours":11.105875949755983,"quality":"neutral"},{"name":"Labha","start":"11:06","end":"12:25","startHours":11.105875949755983,"endHours":12.413592843736051,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"13:43","startHours":12.413592843736051,"endHours":13.721309737716119,"quality":"auspicious"},{"name":"Kāla","start":"13:43","end":"15:02","startHours":13.721309737716119,"endHours":15.029026631696187,"quality":"inauspicious"},{"name":"Śubha","start":"15:02","end":"16:20","startHours":15.029026631696187,"endHours":16.336743525676255,"quality":"auspicious"},{"name":"Roga","start":"16:20","end":"17:39","startHours":16.336743525676255,"endHours":17.644460419656323,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:39","end":"19:20","startHours":17.644460419656323,"endHours":19.336743525676255,"quality":"inauspicious"},{"name":"Śubha","start":"19:20","end":"21:02","startHours":19.336743525676255,"endHours":21.029026631696187,"quality":"auspicious"},{"name":"Roga","start":"21:02","end":"22:43","startHours":21.029026631696187,"endHours":22.72130973771612,"quality":"inauspicious"},{"name":"Udveg","start":"22:43","end":"00:25","startHours":22.72130973771612,"endHours":24.41359284373605,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"02:06","startHours":24.41359284373605,"endHours":26.105875949755983,"quality":"neutral"},{"name":"Labha","start":"02:06","end":"03:48","startHours":26.105875949755983,"endHours":27.798159055775916,"quality":"auspicious"},{"name":"Amṛta","start":"03:48","end":"05:29","startHours":27.798159055775916,"endHours":29.490442161795848,"quality":"auspicious"},{"name":"Kāla","start":"05:29","end":"07:11","startHours":29.490442161795848,"endHours":31.18272526781578,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.18272526781578,"endHours":8.18272526781578,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.18272526781578,"endHours":9.18272526781578,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.18272526781578,"endHours":10.18272526781578,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.18272526781578,"endHours":11.18272526781578,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.18272526781578,"endHours":12.18272526781578,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.18272526781578,"endHours":13.18272526781578,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.18272526781578,"endHours":14.18272526781578,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.18272526781578,"endHours":15.18272526781578,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.18272526781578,"endHours":16.18272526781578,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.18272526781578,"endHours":17.18272526781578,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.18272526781578,"endHours":18.18272526781578,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.18272526781578,"endHours":19.18272526781578,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.18272526781578,"endHours":20.18272526781578,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.18272526781578,"endHours":21.18272526781578,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.18272526781578,"endHours":22.18272526781578,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.18272526781578,"endHours":23.18272526781578,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.18272526781578,"endHours":24.18272526781578,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.18272526781578,"endHours":25.18272526781578,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.18272526781578,"endHours":26.18272526781578,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.18272526781578,"endHours":27.18272526781578,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.18272526781578,"endHours":28.18272526781578,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.18272526781578,"endHours":29.18272526781578,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.18272526781578,"endHours":30.18272526781578,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.18272526781578,"endHours":31.18272526781578,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"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":-22.644728696935967,"eotMinutes":-5.452770624163118,"ayanamsa":24.8589}},"calendars":{"vikram_samvat":2129,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1994,"saka_samvatsara":"Nandana","bengali_samvat":1479,"malayalam_era":1248,"nanakshahi_year":603,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Pūrṇimā · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[{"id":"paush-purnima","name":"Pauṣa Pūrṇimā (Śākambharī Devī Jayantī)","name_sanskrit":"पौष पूर्णिमा","tradition":"Pan-Hindu","associated_deity":"Devī Śākambharī","significance":"Manifestation of Devī Śākambharī (vegetation-mother).","vrata":true,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":3}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 5, 2072 CE · Vṛndāvana · Vidhyamitra","description":"January 5, 2072 CE for Vṛndāvana: Śukla Pūrṇimā, sūryodaya 07:11, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2072-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2072-01-05","sa":"https://sa.vidhyamitra.com/city/vrindavan/2072-01-05","hi":"https://hi.vidhyamitra.com/city/vrindavan/2072-01-05","x-default":"https://vidhyamitra.com/city/vrindavan/2072-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T06:34:34.862Z","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":"2026-05-31T06:34:34.862Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T06:34:34.862Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}