{"id":"vidhyamitra:city-day:vrindavan:2137-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2137-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2137-03-13","date_display":"March 13, 2137 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":2137,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501654.770833,"kali_year":5238,"ahargana":1913189.2708,"sun":{"sidereal_longitude":326.6461,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":213.048,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.4019,"elapsed_within_tithi_degrees":6.4019},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":213.048,"elapsed_within_degrees":13.048},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.694},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2137,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2501654.770833,"ahargana":1913189.2708,"kali_year":5238,"ayanamsa_lahiri":25.7695,"grahas":{"sun":{"sidereal_longitude":326.790749,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":213.529849,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":-4.0095},"mars":{"sidereal_longitude":315.21184900000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":339.704949,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":218.83894899999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":294.26104899999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":265.39614900000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":330.0255,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":150.0255,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":2137,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2501654.770833,"kali_year":5238,"ahargana":1913189.2708,"sun":{"sidereal_longitude":326.6461,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":213.048,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.4019,"elapsed_within_tithi_degrees":6.4019},"nakshatra":{"number":16,"name":"Viśākhā","pada":4,"moon_longitude":213.048,"elapsed_within_degrees":13.048},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.694},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.009,"elongation":113.598},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.009,"opposition_distance":66.402}},"eclipse_window_40days":[{"offset_days":-5,"type":"lunar","occurs":true,"moon_latitude":0.509,"opposition_distance":2.147}]},"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":"06:32","sunsetLocal":"18:27","solarNoonLocal":"12:30","dayLengthHours":11.919802190835215,"dayLengthDisplay":"11 Hours 55 Mins 11 Secs","nightLengthDisplay":"12 Hours 04 Mins 49 Secs","moonriseLocal":"23:37","moonsetLocal":"10:16","rahuKala":{"name":"Rāhu Kāla","start":"12:30","end":"13:59","startHours":12.49301199881348,"endHours":13.98298727266788,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:01","end":"09:31","startHours":8.023086177250272,"endHours":9.513061451104674,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:30","startHours":11.003036724959077,"endHours":12.49301199881348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:19","end":"09:43","startHours":9.314398081257421,"endHours":9.711724820951929,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:21","startHours":7.029769328014004,"endHours":7.34763071976961,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:53","startHours":12.095685259118971,"endHours":12.890338738507987,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:57","end":"05:44","startHours":4.943803944617843,"endHours":5.738457424006857,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:32","startHours":5.539794054159603,"endHours":6.533110903395871,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:16","startHours":14.479645697286013,"endHours":15.274299176675028,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.252913094231086,"endHours":18.652913094231085,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:57","startHours":18.452913094231086,"endHours":18.94957151884922,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.202913094231086,"endHours":19.952913094231086,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:53","startHours":24.095685259118973,"endHours":24.890338738507985,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:32","end":"08:01","startHours":6.533110903395871,"endHours":8.023086177250272,"quality":"auspicious"},{"name":"Amṛta","start":"08:01","end":"09:31","startHours":8.023086177250272,"endHours":9.513061451104674,"quality":"auspicious"},{"name":"Kāla","start":"09:31","end":"11:00","startHours":9.513061451104674,"endHours":11.003036724959077,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:30","startHours":11.003036724959077,"endHours":12.49301199881348,"quality":"auspicious"},{"name":"Roga","start":"12:30","end":"13:59","startHours":12.49301199881348,"endHours":13.98298727266788,"quality":"inauspicious"},{"name":"Udveg","start":"13:59","end":"15:28","startHours":13.98298727266788,"endHours":15.472962546522282,"quality":"inauspicious"},{"name":"Chala","start":"15:28","end":"16:58","startHours":15.472962546522282,"endHours":16.962937820376684,"quality":"neutral"},{"name":"Labha","start":"16:58","end":"18:27","startHours":16.962937820376684,"endHours":18.452913094231086,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:27","end":"19:58","startHours":18.452913094231086,"endHours":19.962937820376684,"quality":"inauspicious"},{"name":"Chala","start":"19:58","end":"21:28","startHours":19.962937820376684,"endHours":21.472962546522282,"quality":"neutral"},{"name":"Labha","start":"21:28","end":"22:59","startHours":21.472962546522282,"endHours":22.98298727266788,"quality":"auspicious"},{"name":"Amṛta","start":"22:59","end":"00:30","startHours":22.98298727266788,"endHours":24.49301199881348,"quality":"auspicious"},{"name":"Kāla","start":"00:30","end":"02:00","startHours":24.49301199881348,"endHours":26.003036724959077,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:31","startHours":26.003036724959077,"endHours":27.513061451104676,"quality":"auspicious"},{"name":"Roga","start":"03:31","end":"05:01","startHours":27.513061451104676,"endHours":29.02308617725027,"quality":"inauspicious"},{"name":"Udveg","start":"05:01","end":"06:32","startHours":29.02308617725027,"endHours":30.533110903395873,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.533110903395871,"endHours":7.533110903395871,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.533110903395871,"endHours":8.53311090339587,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.53311090339587,"endHours":9.53311090339587,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.53311090339587,"endHours":10.53311090339587,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.53311090339587,"endHours":11.53311090339587,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.53311090339587,"endHours":12.53311090339587,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.53311090339587,"endHours":13.53311090339587,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.53311090339587,"endHours":14.53311090339587,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.53311090339587,"endHours":15.53311090339587,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.53311090339587,"endHours":16.533110903395873,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.533110903395873,"endHours":17.533110903395873,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.533110903395873,"endHours":18.533110903395873,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.533110903395873,"endHours":19.533110903395873,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.533110903395873,"endHours":20.533110903395873,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.533110903395873,"endHours":21.533110903395873,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.533110903395873,"endHours":22.533110903395873,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.533110903395873,"endHours":23.533110903395873,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.533110903395873,"endHours":24.533110903395873,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.533110903395873,"endHours":25.533110903395873,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.533110903395873,"endHours":26.533110903395873,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.533110903395873,"endHours":27.533110903395873,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.533110903395873,"endHours":28.533110903395873,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.533110903395873,"endHours":29.533110903395873,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.533110903395873,"endHours":30.533110903395873,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.9520282320477733,"eotMinutes":-10.217919928808794,"ayanamsa":25.7695}},"calendars":{"vikram_samvat":2194,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":2059,"saka_samvatsara":"Hemalambī","bengali_samvat":1544,"malayalam_era":1313,"nanakshahi_year":668,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Ṣaṣṭhī · Vikram 2194 Sādhāraṇa · Śaka 2059 Hemalambī"},"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","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 March 13, 2137 CE · Vṛndāvana · Vidhyamitra","description":"March 13, 2137 CE for Vṛndāvana: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:32, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2137-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2137-03-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2137-03-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2137-03-13","x-default":"https://vidhyamitra.com/city/vrindavan/2137-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:23:18.679Z","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":"2026-05-31T10:23:18.679Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:23:18.679Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}