{"id":"vidhyamitra:city-day:vrindavan:2138-12-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2138-12-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-12-11","date_display":"December 11, 2138 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":2138,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502292.770833,"kali_year":5240,"ahargana":1913827.2708,"sun":{"sidereal_longitude":232.2462,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":344.2487,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.0025,"elapsed_within_tithi_degrees":4.0025},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.2487,"elapsed_within_degrees":10.9153},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.4948},"karana":{"half_tithi_index":18,"name":"Taitila"},"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":2138,"month":12,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502292.770833,"ahargana":1913827.2708,"kali_year":5240,"ayanamsa_lahiri":25.7939,"grahas":{"sun":{"sidereal_longitude":233.01617199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":345.072772,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false,"latitude":3.3441},"mars":{"sidereal_longitude":258.561472,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":220.744872,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":255.38777200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":184.57687199999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":275.91357199999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":296.2212,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":116.2212,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2138,"month":12,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502292.770833,"kali_year":5240,"ahargana":1913827.2708,"sun":{"sidereal_longitude":232.2462,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":344.2487,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":112.0025,"elapsed_within_tithi_degrees":4.0025},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4,"moon_longitude":344.2487,"elapsed_within_degrees":10.9153},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":216.4948},"karana":{"half_tithi_index":18,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.344,"elongation":112.002},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.344,"opposition_distance":67.998}},"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":"07:00","sunsetLocal":"17:26","solarNoonLocal":"12:13","dayLengthHours":10.43526555222865,"dayLengthDisplay":"10 Hours 26 Mins 07 Secs","nightLengthDisplay":"13 Hours 33 Mins 53 Secs","moonriseLocal":"13:30","moonsetLocal":"01:53","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:50","startHours":13.527320149286368,"endHours":14.83172834331495,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:00","end":"08:19","startHours":7.005279179143462,"endHours":8.309687373172043,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:37","end":"10:55","startHours":9.614095567200625,"endHours":10.918503761229205,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:47","startHours":9.440174474663479,"endHours":9.788016659737767,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:26","end":"07:43","startHours":7.440081910486322,"endHours":7.718355658545753,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.875069770183497,"endHours":12.570754140332074,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:37","end":"06:19","startHours":5.613910438846308,"endHours":6.309594808994885,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:08","end":"07:00","startHours":6.135673716457741,"endHours":7.005279179143462,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:39","startHours":13.962122880629227,"endHours":14.657807250777804,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.24054473137211,"endHours":17.64054473137211,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:53","startHours":17.44054473137211,"endHours":17.87534746271497,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.19054473137211,"endHours":18.94054473137211,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.875069770183497,"endHours":24.570754140332074,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:00","end":"08:19","startHours":7.005279179143462,"endHours":8.309687373172043,"quality":"auspicious"},{"name":"Roga","start":"08:19","end":"09:37","startHours":8.309687373172043,"endHours":9.614095567200625,"quality":"inauspicious"},{"name":"Udveg","start":"09:37","end":"10:55","startHours":9.614095567200625,"endHours":10.918503761229205,"quality":"inauspicious"},{"name":"Chala","start":"10:55","end":"12:13","startHours":10.918503761229205,"endHours":12.222911955257786,"quality":"neutral"},{"name":"Labha","start":"12:13","end":"13:32","startHours":12.222911955257786,"endHours":13.527320149286368,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:50","startHours":13.527320149286368,"endHours":14.83172834331495,"quality":"auspicious"},{"name":"Kāla","start":"14:50","end":"16:08","startHours":14.83172834331495,"endHours":16.13613653734353,"quality":"inauspicious"},{"name":"Śubha","start":"16:08","end":"17:26","startHours":16.13613653734353,"endHours":17.44054473137211,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:26","end":"19:08","startHours":17.44054473137211,"endHours":19.13613653734353,"quality":"auspicious"},{"name":"Kāla","start":"19:08","end":"20:50","startHours":19.13613653734353,"endHours":20.83172834331495,"quality":"inauspicious"},{"name":"Śubha","start":"20:50","end":"22:32","startHours":20.83172834331495,"endHours":22.527320149286368,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:13","startHours":22.527320149286368,"endHours":24.222911955257786,"quality":"inauspicious"},{"name":"Udveg","start":"00:13","end":"01:55","startHours":24.222911955257786,"endHours":25.918503761229204,"quality":"inauspicious"},{"name":"Chala","start":"01:55","end":"03:37","startHours":25.918503761229204,"endHours":27.61409556720062,"quality":"neutral"},{"name":"Labha","start":"03:37","end":"05:19","startHours":27.61409556720062,"endHours":29.309687373172043,"quality":"auspicious"},{"name":"Amṛta","start":"05:19","end":"07:00","startHours":29.309687373172043,"endHours":31.00527917914346,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:00","end":"08:00","startHours":7.005279179143462,"endHours":8.00527917914346,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:00","end":"09:00","startHours":8.00527917914346,"endHours":9.00527917914346,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:00","end":"10:00","startHours":9.00527917914346,"endHours":10.00527917914346,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:00","end":"11:00","startHours":10.00527917914346,"endHours":11.00527917914346,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:00","end":"12:00","startHours":11.00527917914346,"endHours":12.00527917914346,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:00","end":"13:00","startHours":12.00527917914346,"endHours":13.00527917914346,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:00","end":"14:00","startHours":13.00527917914346,"endHours":14.00527917914346,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:00","end":"15:00","startHours":14.00527917914346,"endHours":15.00527917914346,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:00","end":"16:00","startHours":15.00527917914346,"endHours":16.00527917914346,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:00","end":"17:00","startHours":16.00527917914346,"endHours":17.00527917914346,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:00","end":"18:00","startHours":17.00527917914346,"endHours":18.00527917914346,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:00","end":"19:00","startHours":18.00527917914346,"endHours":19.00527917914346,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:00","end":"20:00","startHours":19.00527917914346,"endHours":20.00527917914346,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:00","end":"21:00","startHours":20.00527917914346,"endHours":21.00527917914346,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:00","end":"22:00","startHours":21.00527917914346,"endHours":22.00527917914346,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:00","end":"23:00","startHours":22.00527917914346,"endHours":23.00527917914346,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:00","end":"00:00","startHours":23.00527917914346,"endHours":24.00527917914346,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:00","end":"01:00","startHours":24.00527917914346,"endHours":25.00527917914346,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:00","end":"02:00","startHours":25.00527917914346,"endHours":26.00527917914346,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:00","end":"03:00","startHours":26.00527917914346,"endHours":27.00527917914346,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:00","end":"04:00","startHours":27.00527917914346,"endHours":28.00527917914346,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:00","end":"05:00","startHours":28.00527917914346,"endHours":29.00527917914346,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:00","end":"06:00","startHours":29.00527917914346,"endHours":30.00527917914346,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:00","end":"07:00","startHours":30.00527917914346,"endHours":31.00527917914346,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","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":-22.965157518532813,"eotMinutes":5.988082684532823,"ayanamsa":25.7939}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"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 Daśamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[],"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":[]},"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 11, 2138 CE · Vṛndāvana · Vidhyamitra","description":"December 11, 2138 CE for Vṛndāvana: Śukla Daśamī, sūryodaya 07:00, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2138-12-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2138-12-11","sa":"https://sa.vidhyamitra.com/city/vrindavan/2138-12-11","hi":"https://hi.vidhyamitra.com/city/vrindavan/2138-12-11","x-default":"https://vidhyamitra.com/city/vrindavan/2138-12-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:13:39.626Z","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":"2026-06-01T08:13:39.626Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:13:39.626Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}