{"id":"vidhyamitra:city-day:vrindavan:2138-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2138-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2138-01-01","date_display":"January 1, 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":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501948.770833,"kali_year":5239,"ahargana":1913483.2708,"sun":{"sidereal_longitude":254.0701,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8316,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.7614,"elapsed_within_tithi_degrees":6.7614},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8316,"elapsed_within_degrees":8.8316},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.9017},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501948.770833,"ahargana":1913483.2708,"kali_year":5239,"ayanamsa_lahiri":25.7808,"grahas":{"sun":{"sidereal_longitude":254.6480160000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":125.489916,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":0.44},"mars":{"sidereal_longitude":140.89651600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":242.42571599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":235.03551600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":259.81701599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":267.964016,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":314.448,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":134.448,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"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":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501948.770833,"kali_year":5239,"ahargana":1913483.2708,"sun":{"sidereal_longitude":254.0701,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8316,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.7614,"elapsed_within_tithi_degrees":6.7614},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8316,"elapsed_within_degrees":8.8316},"yoga":{"number":2,"name":"Prīti","sum_longitude":22.9017},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.44,"elongation":125.239},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.44,"opposition_distance":54.761}},"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":"07:10","sunsetLocal":"17:36","solarNoonLocal":"12:23","dayLengthHours":10.430154894694525,"dayLengthDisplay":"10 Hours 25 Mins 49 Secs","nightLengthDisplay":"13 Hours 34 Mins 11 Secs","moonriseLocal":"21:20","moonsetLocal":"10:12","rahuKala":{"name":"Rāhu Kāla","start":"12:23","end":"13:41","startHours":12.384466305389935,"endHours":13.688235667226753,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:28","end":"09:47","startHours":8.47315821987949,"endHours":9.776927581716304,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:05","end":"12:23","startHours":11.080696943553122,"endHours":12.384466305389935,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.60309166680473,"endHours":9.95076349662788,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.603978645321613,"endHours":7.882116109180133,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.036794475566785,"endHours":12.732138135213086,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.77870153875007,"endHours":6.4740451983963725,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.300209283484797,"endHours":7.169388858042674,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.12282545450569,"endHours":14.818169114151992,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.3995437527372,"endHours":17.799543752737197,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.599543752737198,"endHours":18.034133540016136,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.349543752737198,"endHours":19.099543752737198,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.036794475566783,"endHours":24.732138135213088,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:28","startHours":7.169388858042674,"endHours":8.47315821987949,"quality":"auspicious"},{"name":"Amṛta","start":"08:28","end":"09:47","startHours":8.47315821987949,"endHours":9.776927581716304,"quality":"auspicious"},{"name":"Kāla","start":"09:47","end":"11:05","startHours":9.776927581716304,"endHours":11.080696943553122,"quality":"inauspicious"},{"name":"Śubha","start":"11:05","end":"12:23","startHours":11.080696943553122,"endHours":12.384466305389935,"quality":"auspicious"},{"name":"Roga","start":"12:23","end":"13:41","startHours":12.384466305389935,"endHours":13.688235667226753,"quality":"inauspicious"},{"name":"Udveg","start":"13:41","end":"15:00","startHours":13.688235667226753,"endHours":14.992005029063566,"quality":"inauspicious"},{"name":"Chala","start":"15:00","end":"16:18","startHours":14.992005029063566,"endHours":16.295774390900384,"quality":"neutral"},{"name":"Labha","start":"16:18","end":"17:36","startHours":16.295774390900384,"endHours":17.599543752737198,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:36","end":"19:18","startHours":17.599543752737198,"endHours":19.295774390900384,"quality":"inauspicious"},{"name":"Chala","start":"19:18","end":"21:00","startHours":19.295774390900384,"endHours":20.992005029063566,"quality":"neutral"},{"name":"Labha","start":"21:00","end":"22:41","startHours":20.992005029063566,"endHours":22.68823566722675,"quality":"auspicious"},{"name":"Amṛta","start":"22:41","end":"00:23","startHours":22.68823566722675,"endHours":24.384466305389935,"quality":"auspicious"},{"name":"Kāla","start":"00:23","end":"02:05","startHours":24.384466305389935,"endHours":26.08069694355312,"quality":"inauspicious"},{"name":"Śubha","start":"02:05","end":"03:47","startHours":26.08069694355312,"endHours":27.776927581716304,"quality":"auspicious"},{"name":"Roga","start":"03:47","end":"05:28","startHours":27.776927581716304,"endHours":29.473158219879487,"quality":"inauspicious"},{"name":"Udveg","start":"05:28","end":"07:10","startHours":29.473158219879487,"endHours":31.169388858042673,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.169388858042674,"endHours":8.169388858042673,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.169388858042673,"endHours":9.169388858042673,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.169388858042673,"endHours":10.169388858042673,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.169388858042673,"endHours":11.169388858042673,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.169388858042673,"endHours":12.169388858042673,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.169388858042673,"endHours":13.169388858042673,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.169388858042673,"endHours":14.169388858042673,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.169388858042673,"endHours":15.169388858042673,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.169388858042673,"endHours":16.169388858042673,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.169388858042673,"endHours":17.169388858042673,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.169388858042673,"endHours":18.169388858042673,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.169388858042673,"endHours":19.169388858042673,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.169388858042673,"endHours":20.169388858042673,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.169388858042673,"endHours":21.169388858042673,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.169388858042673,"endHours":22.169388858042673,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.169388858042673,"endHours":23.169388858042673,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.169388858042673,"endHours":24.169388858042673,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.169388858042673,"endHours":25.169388858042673,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.169388858042673,"endHours":26.169388858042673,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.169388858042673,"endHours":27.169388858042673,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.169388858042673,"endHours":28.169388858042673,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.169388858042673,"endHours":29.169388858042673,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.169388858042673,"endHours":30.169388858042673,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.169388858042673,"endHours":31.169388858042673,"planetary_lord":"Sun"}],"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","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.026830646734396,"eotMinutes":-3.705178323396069,"ayanamsa":25.7808}},"calendars":{"vikram_samvat":2195,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2060,"saka_samvatsara":"Vilambī","bengali_samvat":1545,"malayalam_era":1314,"nanakshahi_year":669,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2195 Virodhakṛt · Śaka 2060 Vilambī"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 January 1, 2138 CE · Vṛndāvana · Vidhyamitra","description":"January 1, 2138 CE for Vṛndāvana: Kṛṣṇa Pañcamī, sūryodaya 07:10, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2138-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2138-01-01","sa":"https://sa.vidhyamitra.com/city/vrindavan/2138-01-01","hi":"https://hi.vidhyamitra.com/city/vrindavan/2138-01-01","x-default":"https://vidhyamitra.com/city/vrindavan/2138-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T23:20:00.062Z","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":"2026-05-29T23:20:00.062Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T23:20:00.062Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}