{"id":"vidhyamitra:city-day:vrindavan:1875-12-09:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/1875-12-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1875-12-09","date_display":"December 9, 1875 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":1875,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406231.770833,"kali_year":4977,"ahargana":1817766.2708,"sun":{"sidereal_longitude":234.3492,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":4.4244,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.0752,"elapsed_within_tithi_degrees":10.0752},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.4244,"elapsed_within_degrees":4.4244},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.7737},"karana":{"half_tithi_index":21,"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":1875,"month":12,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2406231.770833,"ahargana":1817766.2708,"kali_year":4977,"ayanamsa_lahiri":22.1199,"grahas":{"sun":{"sidereal_longitude":234.4790089999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":1.618109000000004,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false,"latitude":1.4213},"mars":{"sidereal_longitude":311.735509,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":226.60280899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":208.90060900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":255.404309,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":300.11190899999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":345.9953,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":165.9953,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"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":1875,"month":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2406231.770833,"kali_year":4977,"ahargana":1817766.2708,"sun":{"sidereal_longitude":234.3492,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":4.4244,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":130.0752,"elapsed_within_tithi_degrees":10.0752},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":4.4244,"elapsed_within_degrees":4.4244},"yoga":{"number":18,"name":"Varīyān","sum_longitude":238.7737},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.421,"elongation":130.075},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.421,"opposition_distance":49.925}},"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":"06:59","sunsetLocal":"17:26","solarNoonLocal":"12:12","dayLengthHours":10.45207057534433,"dayLengthDisplay":"10 Hours 27 Mins 07 Secs","nightLengthDisplay":"13 Hours 32 Mins 53 Secs","moonriseLocal":"14:19","moonsetLocal":"03:03","rahuKala":{"name":"Rāhu Kāla","start":"13:31","end":"14:49","startHours":13.514774447781353,"endHours":14.821283269699395,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:59","end":"08:17","startHours":6.9822303381911475,"endHours":8.288739160109188,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:36","end":"10:54","startHours":9.59524798202723,"endHours":10.901756803945272,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:46","startHours":9.421046805771491,"endHours":9.769449158282969,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:25","end":"07:42","startHours":7.417733278830495,"endHours":7.696455160839677,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:33","startHours":11.859863273351834,"endHours":12.55666797837479,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:17","startHours":5.588620928145237,"endHours":6.285425633168192,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"06:59","startHours":6.111224456912454,"endHours":6.9822303381911475,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:57","end":"14:39","startHours":13.950277388420702,"endHours":14.647082093443657,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.234300913535478,"endHours":17.634300913535476,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.434300913535477,"endHours":17.869803854174823,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.184300913535477,"endHours":18.934300913535477,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:33","startHours":23.859863273351834,"endHours":24.55666797837479,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:59","end":"08:17","startHours":6.9822303381911475,"endHours":8.288739160109188,"quality":"auspicious"},{"name":"Roga","start":"08:17","end":"09:36","startHours":8.288739160109188,"endHours":9.59524798202723,"quality":"inauspicious"},{"name":"Udveg","start":"09:36","end":"10:54","startHours":9.59524798202723,"endHours":10.901756803945272,"quality":"inauspicious"},{"name":"Chala","start":"10:54","end":"12:12","startHours":10.901756803945272,"endHours":12.208265625863312,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"13:31","startHours":12.208265625863312,"endHours":13.514774447781353,"quality":"auspicious"},{"name":"Amṛta","start":"13:31","end":"14:49","startHours":13.514774447781353,"endHours":14.821283269699395,"quality":"auspicious"},{"name":"Kāla","start":"14:49","end":"16:08","startHours":14.821283269699395,"endHours":16.127792091617437,"quality":"inauspicious"},{"name":"Śubha","start":"16:08","end":"17:26","startHours":16.127792091617437,"endHours":17.434300913535477,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:26","end":"19:08","startHours":17.434300913535477,"endHours":19.127792091617437,"quality":"auspicious"},{"name":"Kāla","start":"19:08","end":"20:49","startHours":19.127792091617437,"endHours":20.821283269699393,"quality":"inauspicious"},{"name":"Śubha","start":"20:49","end":"22:31","startHours":20.821283269699393,"endHours":22.514774447781353,"quality":"auspicious"},{"name":"Roga","start":"22:31","end":"00:12","startHours":22.514774447781353,"endHours":24.208265625863312,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:54","startHours":24.208265625863312,"endHours":25.901756803945272,"quality":"inauspicious"},{"name":"Chala","start":"01:54","end":"03:36","startHours":25.901756803945272,"endHours":27.59524798202723,"quality":"neutral"},{"name":"Labha","start":"03:36","end":"05:17","startHours":27.59524798202723,"endHours":29.288739160109188,"quality":"auspicious"},{"name":"Amṛta","start":"05:17","end":"06:59","startHours":29.288739160109188,"endHours":30.982230338191147,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:59","end":"07:59","startHours":6.9822303381911475,"endHours":7.9822303381911475,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:59","end":"08:59","startHours":7.9822303381911475,"endHours":8.982230338191147,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:59","end":"09:59","startHours":8.982230338191147,"endHours":9.982230338191147,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:59","end":"10:59","startHours":9.982230338191147,"endHours":10.982230338191147,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:59","end":"11:59","startHours":10.982230338191147,"endHours":11.982230338191147,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:59","end":"12:59","startHours":11.982230338191147,"endHours":12.982230338191147,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:59","end":"13:59","startHours":12.982230338191147,"endHours":13.982230338191147,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:59","end":"14:59","startHours":13.982230338191147,"endHours":14.982230338191147,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:59","end":"15:59","startHours":14.982230338191147,"endHours":15.982230338191147,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:59","end":"16:59","startHours":15.982230338191147,"endHours":16.982230338191147,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:59","end":"17:59","startHours":16.982230338191147,"endHours":17.982230338191147,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:59","end":"18:59","startHours":17.982230338191147,"endHours":18.982230338191147,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:59","end":"19:59","startHours":18.982230338191147,"endHours":19.982230338191147,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:59","end":"20:59","startHours":19.982230338191147,"endHours":20.982230338191147,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:59","end":"21:59","startHours":20.982230338191147,"endHours":21.982230338191147,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:59","end":"22:59","startHours":21.982230338191147,"endHours":22.982230338191147,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:59","end":"23:59","startHours":22.982230338191147,"endHours":23.982230338191147,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:59","end":"00:59","startHours":23.982230338191147,"endHours":24.982230338191147,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:59","end":"01:59","startHours":24.982230338191147,"endHours":25.982230338191147,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:59","end":"02:59","startHours":25.982230338191147,"endHours":26.982230338191147,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:59","end":"03:59","startHours":26.982230338191147,"endHours":27.982230338191147,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:59","end":"04:59","startHours":27.982230338191147,"endHours":28.982230338191147,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:59","end":"05:59","startHours":28.982230338191147,"endHours":29.982230338191147,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:59","end":"06:59","startHours":29.982230338191147,"endHours":30.982230338191147,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Mṛtyu","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":-22.761918636381097,"eotMinutes":6.866862448201248,"ayanamsa":22.1199}},"calendars":{"vikram_samvat":1932,"vikram_samvatsara":"Sarvadhāri","saka_samvat":1797,"saka_samvatsara":"Yuva","bengali_samvat":1282,"malayalam_era":1051,"nanakshahi_year":406,"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 Ekādaśī · Vikram 1932 Sarvadhāri · Śaka 1797 Yuva"},"festivals":[{"id":"gita-jayanti","name":"Gītā Jayantī (= Mokṣadā Ekādaśī)","name_sanskrit":"गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad-Gītā speaker)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra (Mahābhārata Day 1).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavad Gītā delivered at Kurukṣetra (Mahābhārata Day 1)","date_julian":"-3137-10-04","location":"Kurukṣetra"},"sources":["Bhagavad Gītā (Mahābhārata, Bhīṣma Parva)"]},{"id":"vaikuntha-ekadashi","name":"Vaikuṇṭha Ekādaśī","name_sanskrit":"वैकुण्ठ एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Most sacred Ekādaśī of the year; 'Vaikuṇṭha-dvāram udghaṭitam'.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2},{"id":"mokshada-ekadashi","name":"Mokṣadā Ekādaśī (Gītā Jayantī)","name_sanskrit":"मोक्षदा एकादशी / गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad Gītā delivery)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"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":"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 9, 1875 CE · Vṛndāvana · Vidhyamitra","description":"December 9, 1875 CE for Vṛndāvana: Śukla Ekādaśī, sūryodaya 06:59, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/1875-12-09","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/1875-12-09","sa":"https://sa.vidhyamitra.com/city/vrindavan/1875-12-09","hi":"https://hi.vidhyamitra.com/city/vrindavan/1875-12-09","x-default":"https://vidhyamitra.com/city/vrindavan/1875-12-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T16:20:46.677Z","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":"2026-06-01T16:20:46.677Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T16:20:46.677Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}