{"id":"vidhyamitra:city-day:vrindavan:2072-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2072-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2072-01-02","date_display":"January 2, 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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477843.770833,"kali_year":5173,"ahargana":1889378.2708,"sun":{"sidereal_longitude":256.2064,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":27.6392,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.4327,"elapsed_within_tithi_degrees":11.4327},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.6392,"elapsed_within_degrees":0.9725},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.8456},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477843.770833,"ahargana":1889378.2708,"kali_year":5173,"ayanamsa_lahiri":24.8588,"grahas":{"sun":{"sidereal_longitude":256.61120400000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.218803999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-3.7291},"mars":{"sidereal_longitude":88.24830399999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":243.52280399999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":30.804204000000027,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":221.49700400000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":195.98600399999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":151.6469,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.6469,"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":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477843.770833,"kali_year":5173,"ahargana":1889378.2708,"sun":{"sidereal_longitude":256.2064,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":27.6392,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":131.4327,"elapsed_within_tithi_degrees":11.4327},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1,"moon_longitude":27.6392,"elapsed_within_degrees":0.9725},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.8456},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.729,"elongation":131.433},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.729,"opposition_distance":48.567}},"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":"07:10","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.437233601607298,"dayLengthDisplay":"10 Hours 26 Mins 14 Secs","nightLengthDisplay":"13 Hours 33 Mins 46 Secs","moonriseLocal":"14:20","moonsetLocal":"03:44","rahuKala":{"name":"Rāhu Kāla","start":"09:47","end":"11:05","startHours":9.782566767687399,"endHours":11.087220967888312,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:42","end":"15:00","startHours":13.696529368290136,"endHours":15.001183568491049,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:29","startHours":7.173258367285575,"endHours":8.477912567486488,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:57","startHours":9.608612874327278,"endHours":9.95652066104752,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.608143100685879,"endHours":7.886469330062074,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:44","startHours":12.043967381368981,"endHours":12.739782954809469,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.7816272204046015,"endHours":6.477442793845088,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.303488900484966,"endHours":7.173258367285575,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.13141410169044,"endHours":14.827229675130926,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.410491968892874,"endHours":17.810491968892872,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.610491968892873,"endHours":18.045376702293176,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.360491968892873,"endHours":19.110491968892873,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:44","startHours":24.043967381368983,"endHours":24.739782954809467,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:29","startHours":7.173258367285575,"endHours":8.477912567486488,"quality":"inauspicious"},{"name":"Śubha","start":"08:29","end":"09:47","startHours":8.477912567486488,"endHours":9.782566767687399,"quality":"auspicious"},{"name":"Roga","start":"09:47","end":"11:05","startHours":9.782566767687399,"endHours":11.087220967888312,"quality":"inauspicious"},{"name":"Udveg","start":"11:05","end":"12:24","startHours":11.087220967888312,"endHours":12.391875168089225,"quality":"inauspicious"},{"name":"Chala","start":"12:24","end":"13:42","startHours":12.391875168089225,"endHours":13.696529368290136,"quality":"neutral"},{"name":"Labha","start":"13:42","end":"15:00","startHours":13.696529368290136,"endHours":15.001183568491049,"quality":"auspicious"},{"name":"Amṛta","start":"15:00","end":"16:18","startHours":15.001183568491049,"endHours":16.30583776869196,"quality":"auspicious"},{"name":"Kāla","start":"16:18","end":"17:37","startHours":16.30583776869196,"endHours":17.610491968892873,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:18","startHours":17.610491968892873,"endHours":19.305837768691962,"quality":"auspicious"},{"name":"Amṛta","start":"19:18","end":"21:00","startHours":19.305837768691962,"endHours":21.001183568491047,"quality":"auspicious"},{"name":"Kāla","start":"21:00","end":"22:42","startHours":21.001183568491047,"endHours":22.696529368290136,"quality":"inauspicious"},{"name":"Śubha","start":"22:42","end":"00:24","startHours":22.696529368290136,"endHours":24.391875168089225,"quality":"auspicious"},{"name":"Roga","start":"00:24","end":"02:05","startHours":24.391875168089225,"endHours":26.087220967888314,"quality":"inauspicious"},{"name":"Udveg","start":"02:05","end":"03:47","startHours":26.087220967888314,"endHours":27.7825667676874,"quality":"inauspicious"},{"name":"Chala","start":"03:47","end":"05:29","startHours":27.7825667676874,"endHours":29.477912567486488,"quality":"neutral"},{"name":"Labha","start":"05:29","end":"07:10","startHours":29.477912567486488,"endHours":31.173258367285577,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.173258367285575,"endHours":8.173258367285575,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.173258367285575,"endHours":9.173258367285575,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.173258367285575,"endHours":10.173258367285575,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.173258367285575,"endHours":11.173258367285575,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.173258367285575,"endHours":12.173258367285575,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.173258367285575,"endHours":13.173258367285575,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.173258367285575,"endHours":14.173258367285575,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.173258367285575,"endHours":15.173258367285575,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.173258367285575,"endHours":16.173258367285577,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.173258367285577,"endHours":17.173258367285577,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.173258367285577,"endHours":18.173258367285577,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.173258367285577,"endHours":19.173258367285577,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.173258367285577,"endHours":20.173258367285577,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.173258367285577,"endHours":21.173258367285577,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.173258367285577,"endHours":22.173258367285577,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.173258367285577,"endHours":23.173258367285577,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.173258367285577,"endHours":24.173258367285577,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.173258367285577,"endHours":25.173258367285577,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.173258367285577,"endHours":26.173258367285577,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.173258367285577,"endHours":27.173258367285577,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.173258367285577,"endHours":28.173258367285577,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.173258367285577,"endHours":29.173258367285577,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.173258367285577,"endHours":30.173258367285577,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.173258367285577,"endHours":31.173258367285577,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Sushira","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":-22.94139118720683,"eotMinutes":-4.149710085353452,"ayanamsa":24.8588}},"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 Ekādaśī · Vikram 2129 Viśvāvasu · Śaka 1994 Nandana"},"festivals":[{"id":"putrada-ekadashi","name":"Pauṣa Putradā Ekādaśī","name_sanskrit":"पौष पुत्रदा एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Ekādaśī granting putra-prāpti.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Pauṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 2, 2072 CE · Vṛndāvana · Vidhyamitra","description":"January 2, 2072 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 07:10, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2072-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2072-01-02","sa":"https://sa.vidhyamitra.com/city/vrindavan/2072-01-02","hi":"https://hi.vidhyamitra.com/city/vrindavan/2072-01-02","x-default":"https://vidhyamitra.com/city/vrindavan/2072-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T18:00:32.341Z","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":"2026-06-02T18:00:32.341Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T18:00:32.341Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}