{"id":"vidhyamitra:city-day:vrindavan:2167-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2167-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-12-13","date_display":"December 13, 2167 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":2167,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512886.770833,"kali_year":5269,"ahargana":1924421.2708,"sun":{"sidereal_longitude":233.7786,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":251.8759,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":18.0972,"elapsed_within_tithi_degrees":6.0972},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.8759,"elapsed_within_degrees":11.8759},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":125.6545},"karana":{"half_tithi_index":3,"name":"Kaulava"},"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":2167,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512886.770833,"ahargana":1924421.2708,"kali_year":5269,"ayanamsa_lahiri":26.1991,"grahas":{"sun":{"sidereal_longitude":234.605004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":250.643104,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":1.7585},"mars":{"sidereal_longitude":115.69830400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":252.10800399999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":74.822204,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":200.18260399999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":270.90590399999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":94.9001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":274.9001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2167,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512886.770833,"kali_year":5269,"ahargana":1924421.2708,"sun":{"sidereal_longitude":233.7786,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":251.8759,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":18.0972,"elapsed_within_tithi_degrees":6.0972},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.8759,"elapsed_within_degrees":11.8759},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":125.6545},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.759,"elongation":18.097},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.759,"opposition_distance":161.903}},"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":10.422618207838443,"dayLengthDisplay":"10 Hours 25 Mins 21 Secs","nightLengthDisplay":"13 Hours 34 Mins 39 Secs","moonriseLocal":"08:07","moonsetLocal":"18:29","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.146350990449115,"endHours":17.44917826642892,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:32","startHours":12.237869162509696,"endHours":13.540696438489501,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:51","end":"16:09","startHours":14.843523714469308,"endHours":16.146350990449115,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:28","end":"09:48","startHours":9.458504307086113,"endHours":9.80592491401406,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:44","startHours":7.460835817250411,"endHours":7.7387723027927695,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.89044855558175,"endHours":12.585289769437646,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:38","end":"06:20","startHours":5.636877630878683,"endHours":6.33171884473458,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:02","startHours":6.158008541270605,"endHours":7.0265600585904755,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.974972197149437,"endHours":14.669813411005334,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.24917826642892,"endHours":17.64917826642892,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.44917826642892,"endHours":17.883454025088856,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.19917826642892,"endHours":18.94917826642892,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.89044855558175,"endHours":24.585289769437644,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:02","end":"08:20","startHours":7.0265600585904755,"endHours":8.329387334570281,"quality":"inauspicious"},{"name":"Chala","start":"08:20","end":"09:38","startHours":8.329387334570281,"endHours":9.632214610550086,"quality":"neutral"},{"name":"Labha","start":"09:38","end":"10:56","startHours":9.632214610550086,"endHours":10.935041886529891,"quality":"auspicious"},{"name":"Amṛta","start":"10:56","end":"12:14","startHours":10.935041886529891,"endHours":12.237869162509696,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:32","startHours":12.237869162509696,"endHours":13.540696438489501,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:51","startHours":13.540696438489501,"endHours":14.843523714469308,"quality":"auspicious"},{"name":"Roga","start":"14:51","end":"16:09","startHours":14.843523714469308,"endHours":16.146350990449115,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.146350990449115,"endHours":17.44917826642892,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.44917826642892,"endHours":19.146350990449115,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:51","startHours":19.146350990449115,"endHours":20.84352371446931,"quality":"inauspicious"},{"name":"Udveg","start":"20:51","end":"22:32","startHours":20.84352371446931,"endHours":22.540696438489505,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:14","startHours":22.540696438489505,"endHours":24.237869162509696,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:56","startHours":24.237869162509696,"endHours":25.935041886529895,"quality":"auspicious"},{"name":"Amṛta","start":"01:56","end":"03:38","startHours":25.935041886529895,"endHours":27.632214610550086,"quality":"auspicious"},{"name":"Kāla","start":"03:38","end":"05:20","startHours":27.632214610550086,"endHours":29.32938733457028,"quality":"inauspicious"},{"name":"Śubha","start":"05:20","end":"07:02","startHours":29.32938733457028,"endHours":31.026560058590476,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:02","end":"08:02","startHours":7.0265600585904755,"endHours":8.026560058590476,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:02","end":"09:02","startHours":8.026560058590476,"endHours":9.026560058590476,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:02","end":"10:02","startHours":9.026560058590476,"endHours":10.026560058590476,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:02","end":"11:02","startHours":10.026560058590476,"endHours":11.026560058590476,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:02","end":"12:02","startHours":11.026560058590476,"endHours":12.026560058590476,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:02","end":"13:02","startHours":12.026560058590476,"endHours":13.026560058590476,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:02","end":"14:02","startHours":13.026560058590476,"endHours":14.026560058590476,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:02","end":"15:02","startHours":14.026560058590476,"endHours":15.026560058590476,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:02","end":"16:02","startHours":15.026560058590476,"endHours":16.026560058590476,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:02","end":"17:02","startHours":16.026560058590476,"endHours":17.026560058590476,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:02","end":"18:02","startHours":17.026560058590476,"endHours":18.026560058590476,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:02","end":"19:02","startHours":18.026560058590476,"endHours":19.026560058590476,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:02","end":"20:02","startHours":19.026560058590476,"endHours":20.026560058590476,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:02","end":"21:02","startHours":20.026560058590476,"endHours":21.026560058590476,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:02","end":"22:02","startHours":21.026560058590476,"endHours":22.026560058590476,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:02","end":"23:02","startHours":22.026560058590476,"endHours":23.026560058590476,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:02","end":"00:02","startHours":23.026560058590476,"endHours":24.026560058590476,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:02","end":"01:02","startHours":24.026560058590476,"endHours":25.026560058590476,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:02","end":"02:02","startHours":25.026560058590476,"endHours":26.026560058590476,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:02","end":"03:02","startHours":26.026560058590476,"endHours":27.026560058590476,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:02","end":"04:02","startHours":27.026560058590476,"endHours":28.026560058590476,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:02","end":"05:02","startHours":28.026560058590476,"endHours":29.026560058590476,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:02","end":"06:02","startHours":29.026560058590476,"endHours":30.026560058590476,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:02","end":"07:02","startHours":30.026560058590476,"endHours":31.026560058590476,"planetary_lord":"Jupiter"}],"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":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.117664981953542,"eotMinutes":5.090650249418121,"ayanamsa":26.1991}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"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 Dvitīyā · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"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, 2167 CE · Vṛndāvana · Vidhyamitra","description":"December 13, 2167 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 07:02, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2167-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2167-12-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2167-12-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2167-12-13","x-default":"https://vidhyamitra.com/city/vrindavan/2167-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T02:33:13.525Z","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":"2026-06-03T02:33:13.525Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T02:33:13.525Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}