{"id":"vidhyamitra:city-day:vrindavan:1874-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1874-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1874-12-13","date_display":"December 13, 1874 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":1874,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405870.770833,"kali_year":4976,"ahargana":1817405.2708,"sun":{"sidereal_longitude":238.7159,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":287.412,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.6961,"elapsed_within_tithi_degrees":0.6961},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.412,"elapsed_within_degrees":7.412},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.1278},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1874,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2405870.770833,"ahargana":1817405.2708,"kali_year":4976,"ayanamsa_lahiri":22.1061,"grahas":{"sun":{"sidereal_longitude":238.807502,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":285.75880200000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":-4.3967},"mars":{"sidereal_longitude":184.05330200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":222.75490200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":185.06940199999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":234.27610200000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":289.668402,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":5.1228,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.1228,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":1874,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2405870.770833,"kali_year":4976,"ahargana":1817405.2708,"sun":{"sidereal_longitude":238.7159,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":287.412,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":48.6961,"elapsed_within_tithi_degrees":0.6961},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":287.412,"elapsed_within_degrees":7.412},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.1278},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.397,"elongation":48.696},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.397,"opposition_distance":131.304}},"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":"07:02","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.421993491535712,"dayLengthDisplay":"10 Hours 25 Mins 19 Secs","nightLengthDisplay":"13 Hours 34 Mins 41 Secs","moonriseLocal":"09:59","moonsetLocal":"20:45","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.14611672183559,"endHours":17.448865908277554,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:32","startHours":12.237869162509696,"endHours":13.54061834895166,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.843367535393625,"endHours":16.14611672183559,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.458670898100173,"endHours":9.806070681151365,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.461122145555829,"endHours":7.739041971996781,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.890469379458507,"endHours":12.58526894556089,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.63727328453708,"endHours":6.33207285063946,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:02","startHours":6.158372959113865,"endHours":7.026872416741841,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974868077765649,"endHours":14.66966764386803,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.248865908277555,"endHours":17.648865908277553,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.448865908277554,"endHours":17.883115637091542,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.198865908277554,"endHours":18.948865908277554,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.890469379458505,"endHours":24.585268945560887,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:02","end":"08:20","startHours":7.026872416741841,"endHours":8.329621603183805,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:38","startHours":8.329621603183805,"endHours":9.632370789625769,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:56","startHours":9.632370789625769,"endHours":10.935119976067734,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"12:14","startHours":10.935119976067734,"endHours":12.237869162509696,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:32","startHours":12.237869162509696,"endHours":13.54061834895166,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:51","startHours":13.54061834895166,"endHours":14.843367535393625,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.843367535393625,"endHours":16.14611672183559,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.14611672183559,"endHours":17.448865908277554,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.448865908277554,"endHours":19.14611672183559,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.14611672183559,"endHours":20.843367535393625,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:32","startHours":20.843367535393625,"endHours":22.54061834895166,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:14","startHours":22.54061834895166,"endHours":24.237869162509696,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:56","startHours":24.237869162509696,"endHours":25.935119976067732,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:38","startHours":25.935119976067732,"endHours":27.63237078962577,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:20","startHours":27.63237078962577,"endHours":29.329621603183806,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:02","startHours":29.329621603183806,"endHours":31.026872416741842,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.026872416741841,"endHours":8.026872416741842,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.026872416741842,"endHours":9.026872416741842,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.026872416741842,"endHours":10.026872416741842,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.026872416741842,"endHours":11.026872416741842,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.026872416741842,"endHours":12.026872416741842,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.026872416741842,"endHours":13.026872416741842,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.026872416741842,"endHours":14.026872416741842,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.026872416741842,"endHours":15.026872416741842,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.026872416741842,"endHours":16.026872416741842,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.026872416741842,"endHours":17.026872416741842,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.026872416741842,"endHours":18.026872416741842,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.026872416741842,"endHours":19.026872416741842,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.026872416741842,"endHours":20.026872416741842,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.026872416741842,"endHours":21.026872416741842,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.026872416741842,"endHours":22.026872416741842,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.026872416741842,"endHours":23.026872416741842,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.026872416741842,"endHours":24.026872416741842,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.026872416741842,"endHours":25.026872416741842,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.026872416741842,"endHours":26.026872416741842,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.026872416741842,"endHours":27.026872416741842,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.026872416741842,"endHours":28.026872416741842,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.026872416741842,"endHours":29.026872416741842,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.026872416741842,"endHours":30.026872416741842,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.026872416741842,"endHours":31.026872416741842,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","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":-23.125188084566876,"eotMinutes":5.090650249418121,"ayanamsa":22.1061}},"calendars":{"vikram_samvat":1931,"vikram_samvatsara":"Sarvajit","saka_samvat":1796,"saka_samvatsara":"Bhāva","bengali_samvat":1281,"malayalam_era":1050,"nanakshahi_year":405,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Śukla Pañcamī · Vikram 1931 Sarvajit · Śaka 1796 Bhāva"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 13, 1874 CE · Vṛndāvana · Vidhyamitra","description":"December 13, 1874 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1874-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1874-12-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/1874-12-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/1874-12-13","x-default":"https://vidhyamitra.com/city/vrindavan/1874-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T15:34:06.857Z","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":"2026-06-02T15:34:06.857Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T15:34:06.857Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}