{"id":"vidhyamitra:city-day:vrindavan:2116-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2116-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2116-12-04","date_display":"December 4, 2116 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":2116,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494250.770833,"kali_year":5218,"ahargana":1905785.2708,"sun":{"sidereal_longitude":225.7941,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":224.0015,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":358.2074,"elapsed_within_tithi_degrees":10.2074},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.0015,"elapsed_within_degrees":10.6682},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.7956},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2116,"month":12,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2494250.770833,"ahargana":1905785.2708,"kali_year":5218,"ayanamsa_lahiri":25.4863,"grahas":{"sun":{"sidereal_longitude":226.563536,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":222.81993599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":-2.9904},"mars":{"sidereal_longitude":30.037735999999995,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":235.11003600000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":302.90973599999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":204.96763599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":5.556936000000007,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":2.3251,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":182.3251,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2116,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2494250.770833,"kali_year":5218,"ahargana":1905785.2708,"sun":{"sidereal_longitude":225.7941,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":224.0015,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":358.2074,"elapsed_within_tithi_degrees":10.2074},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":224.0015,"elapsed_within_degrees":10.6682},"yoga":{"number":7,"name":"Sukarma","sum_longitude":89.7956},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.99,"elongation":1.793},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.99,"opposition_distance":178.207}},"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":"06:56","sunsetLocal":"17:25","solarNoonLocal":"12:10","dayLengthHours":10.495551312734323,"dayLengthDisplay":"10 Hours 29 Mins 44 Secs","nightLengthDisplay":"13 Hours 30 Mins 16 Secs","moonriseLocal":"06:40","moonsetLocal":"17:10","rahuKala":{"name":"Rāhu Kāla","start":"10:52","end":"12:10","startHours":10.861422343673155,"endHours":12.173366257764947,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:48","end":"16:07","startHours":14.797254085948527,"endHours":16.109198000040315,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:14","end":"09:33","startHours":8.237534515489575,"endHours":9.549478429581365,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.374552574369126,"endHours":9.724404284793604,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:39","startHours":7.362905239428382,"endHours":7.642786607767963,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:31","startHours":11.82351454734047,"endHours":12.523217968189424,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:14","startHours":5.526183759699875,"endHours":6.225887180548829,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:56","startHours":6.050961325336591,"endHours":6.925590601397785,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:37","startHours":13.922624809887333,"endHours":14.622328230736288,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:13","end":"17:37","startHours":17.221141914132108,"endHours":17.621141914132107,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:25","end":"17:52","startHours":17.421141914132107,"endHours":17.858456552162703,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:10","end":"18:55","startHours":17.171141914132107,"endHours":18.921141914132107,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:31","startHours":23.82351454734047,"endHours":24.523217968189424,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:56","end":"08:14","startHours":6.925590601397785,"endHours":8.237534515489575,"quality":"neutral"},{"name":"Labha","start":"08:14","end":"09:33","startHours":8.237534515489575,"endHours":9.549478429581365,"quality":"auspicious"},{"name":"Amṛta","start":"09:33","end":"10:52","startHours":9.549478429581365,"endHours":10.861422343673155,"quality":"auspicious"},{"name":"Kāla","start":"10:52","end":"12:10","startHours":10.861422343673155,"endHours":12.173366257764947,"quality":"inauspicious"},{"name":"Śubha","start":"12:10","end":"13:29","startHours":12.173366257764947,"endHours":13.485310171856735,"quality":"auspicious"},{"name":"Roga","start":"13:29","end":"14:48","startHours":13.485310171856735,"endHours":14.797254085948527,"quality":"inauspicious"},{"name":"Udveg","start":"14:48","end":"16:07","startHours":14.797254085948527,"endHours":16.109198000040315,"quality":"inauspicious"},{"name":"Chala","start":"16:07","end":"17:25","startHours":16.109198000040315,"endHours":17.421141914132107,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:25","end":"19:07","startHours":17.421141914132107,"endHours":19.109198000040315,"quality":"inauspicious"},{"name":"Udveg","start":"19:07","end":"20:48","startHours":19.109198000040315,"endHours":20.797254085948527,"quality":"inauspicious"},{"name":"Chala","start":"20:48","end":"22:29","startHours":20.797254085948527,"endHours":22.485310171856735,"quality":"neutral"},{"name":"Labha","start":"22:29","end":"00:10","startHours":22.485310171856735,"endHours":24.173366257764947,"quality":"auspicious"},{"name":"Amṛta","start":"00:10","end":"01:52","startHours":24.173366257764947,"endHours":25.861422343673155,"quality":"auspicious"},{"name":"Kāla","start":"01:52","end":"03:33","startHours":25.861422343673155,"endHours":27.549478429581363,"quality":"inauspicious"},{"name":"Śubha","start":"03:33","end":"05:14","startHours":27.549478429581363,"endHours":29.237534515489575,"quality":"auspicious"},{"name":"Roga","start":"05:14","end":"06:56","startHours":29.237534515489575,"endHours":30.925590601397786,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.925590601397785,"endHours":7.925590601397785,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.925590601397785,"endHours":8.925590601397785,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.925590601397785,"endHours":9.925590601397785,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.925590601397785,"endHours":10.925590601397785,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.925590601397785,"endHours":11.925590601397785,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.925590601397785,"endHours":12.925590601397785,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.925590601397785,"endHours":13.925590601397785,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.925590601397785,"endHours":14.925590601397785,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.925590601397785,"endHours":15.925590601397785,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.925590601397785,"endHours":16.925590601397786,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.925590601397786,"endHours":17.925590601397786,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.925590601397786,"endHours":18.925590601397786,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.925590601397786,"endHours":19.925590601397786,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.925590601397786,"endHours":20.925590601397786,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.925590601397786,"endHours":21.925590601397786,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.925590601397786,"endHours":22.925590601397786,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.925590601397786,"endHours":23.925590601397786,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.925590601397786,"endHours":24.925590601397786,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.925590601397786,"endHours":25.925590601397786,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.925590601397786,"endHours":26.925590601397786,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.925590601397786,"endHours":27.925590601397786,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.925590601397786,"endHours":28.925590601397786,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.925590601397786,"endHours":29.925590601397786,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.925590601397786,"endHours":30.925590601397786,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"North-East","rahuVasa":"South-East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.23292711767193,"eotMinutes":8.960824534103129,"ayanamsa":25.4863}},"calendars":{"vikram_samvat":2173,"vikram_samvatsara":"Virodhi","saka_samvat":2038,"saka_samvatsara":"Dhātṛ","bengali_samvat":1523,"malayalam_era":1292,"nanakshahi_year":647,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Amāvasyā · Vikram 2173 Virodhi · Śaka 2038 Dhātṛ"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 December 4, 2116 CE · Vṛndāvana · Vidhyamitra","description":"December 4, 2116 CE for Vṛndāvana: Kṛṣṇa Amāvasyā, sūryodaya 06:56, sūryāsta 17:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2116-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2116-12-04","sa":"https://sa.vidhyamitra.com/city/vrindavan/2116-12-04","hi":"https://hi.vidhyamitra.com/city/vrindavan/2116-12-04","x-default":"https://vidhyamitra.com/city/vrindavan/2116-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T00:28:55.800Z","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":"2026-06-01T00:28:55.800Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T00:28:55.800Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}