{"id":"vidhyamitra:city-day:vrindavan:2086-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2086-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2086-03-13","date_display":"March 13, 2086 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":2086,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483027.770833,"kali_year":5187,"ahargana":1894562.2708,"sun":{"sidereal_longitude":327.8422,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":296.6991,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.857,"elapsed_within_tithi_degrees":4.857},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.6991,"elapsed_within_degrees":3.3658},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.5413},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2086,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483027.770833,"ahargana":1894562.2708,"kali_year":5187,"ayanamsa_lahiri":25.0571,"grahas":{"sun":{"sidereal_longitude":327.86713699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":295.209337,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":3.8853},"mars":{"sidereal_longitude":286.7957369999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":300.4651369999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":102.77083700000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"venus":{"sidereal_longitude":280.317037,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":350.989237,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":236.9736,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":56.9736,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2086,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483027.770833,"kali_year":5187,"ahargana":1894562.2708,"sun":{"sidereal_longitude":327.8422,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":296.6991,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.857,"elapsed_within_tithi_degrees":4.857},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.6991,"elapsed_within_degrees":3.3658},"yoga":{"number":20,"name":"Śiva","sum_longitude":264.5413},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.885,"elongation":31.143},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.885,"opposition_distance":148.857}},"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":"06:32","sunsetLocal":"18:27","solarNoonLocal":"12:30","dayLengthHours":11.929820241235184,"dayLengthDisplay":"11 Hours 55 Mins 47 Secs","nightLengthDisplay":"12 Hours 04 Mins 13 Secs","moonriseLocal":"04:48","moonsetLocal":"15:50","rahuKala":{"name":"Rāhu Kāla","start":"12:30","end":"13:59","startHours":12.49301199881348,"endHours":13.984239528967876,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:01","end":"09:31","startHours":8.019329408350284,"endHours":9.510556938504681,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:00","end":"12:30","startHours":11.00178446865908,"endHours":12.49301199881348,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:19","end":"09:43","startHours":9.311726601150763,"endHours":9.709387275858601,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:21","startHours":7.025177721580685,"endHours":7.343306261346957,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:06","end":"12:53","startHours":12.09535132410564,"endHours":12.890672673521319,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:56","end":"05:44","startHours":4.937459179364528,"endHours":5.732780528780207,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:32","startHours":5.533950191426287,"endHours":6.528101878195886,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:17","startHours":14.481315372352675,"endHours":15.276636721768353,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:15","end":"18:39","startHours":18.257922119431072,"endHours":18.65792211943107,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:27","end":"18:57","startHours":18.45792211943107,"endHours":18.95499796281587,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:12","end":"19:57","startHours":18.20792211943107,"endHours":19.95792211943107,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:06","end":"00:53","startHours":24.09535132410564,"endHours":24.89067267352132,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:32","end":"08:01","startHours":6.528101878195886,"endHours":8.019329408350284,"quality":"auspicious"},{"name":"Amṛta","start":"08:01","end":"09:31","startHours":8.019329408350284,"endHours":9.510556938504681,"quality":"auspicious"},{"name":"Kāla","start":"09:31","end":"11:00","startHours":9.510556938504681,"endHours":11.00178446865908,"quality":"inauspicious"},{"name":"Śubha","start":"11:00","end":"12:30","startHours":11.00178446865908,"endHours":12.49301199881348,"quality":"auspicious"},{"name":"Roga","start":"12:30","end":"13:59","startHours":12.49301199881348,"endHours":13.984239528967876,"quality":"inauspicious"},{"name":"Udveg","start":"13:59","end":"15:29","startHours":13.984239528967876,"endHours":15.475467059122273,"quality":"inauspicious"},{"name":"Chala","start":"15:29","end":"16:58","startHours":15.475467059122273,"endHours":16.966694589276674,"quality":"neutral"},{"name":"Labha","start":"16:58","end":"18:27","startHours":16.966694589276674,"endHours":18.45792211943107,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:27","end":"19:58","startHours":18.45792211943107,"endHours":19.966694589276674,"quality":"inauspicious"},{"name":"Chala","start":"19:58","end":"21:29","startHours":19.966694589276674,"endHours":21.475467059122273,"quality":"neutral"},{"name":"Labha","start":"21:29","end":"22:59","startHours":21.475467059122273,"endHours":22.984239528967876,"quality":"auspicious"},{"name":"Amṛta","start":"22:59","end":"00:30","startHours":22.984239528967876,"endHours":24.49301199881348,"quality":"auspicious"},{"name":"Kāla","start":"00:30","end":"02:00","startHours":24.49301199881348,"endHours":26.001784468659082,"quality":"inauspicious"},{"name":"Śubha","start":"02:00","end":"03:31","startHours":26.001784468659082,"endHours":27.510556938504685,"quality":"auspicious"},{"name":"Roga","start":"03:31","end":"05:01","startHours":27.510556938504685,"endHours":29.019329408350284,"quality":"inauspicious"},{"name":"Udveg","start":"05:01","end":"06:32","startHours":29.019329408350284,"endHours":30.528101878195887,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:32","end":"07:32","startHours":6.528101878195886,"endHours":7.528101878195886,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:32","end":"08:32","startHours":7.528101878195886,"endHours":8.528101878195887,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:32","end":"09:32","startHours":8.528101878195887,"endHours":9.528101878195887,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:32","end":"10:32","startHours":9.528101878195887,"endHours":10.528101878195887,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:32","end":"11:32","startHours":10.528101878195887,"endHours":11.528101878195887,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:32","end":"12:32","startHours":11.528101878195887,"endHours":12.528101878195887,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:32","end":"13:32","startHours":12.528101878195887,"endHours":13.528101878195887,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:32","end":"14:32","startHours":13.528101878195887,"endHours":14.528101878195887,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:32","end":"15:32","startHours":14.528101878195887,"endHours":15.528101878195887,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:32","end":"16:32","startHours":15.528101878195887,"endHours":16.528101878195887,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:32","end":"17:32","startHours":16.528101878195887,"endHours":17.528101878195887,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:32","end":"18:32","startHours":17.528101878195887,"endHours":18.528101878195887,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:32","end":"19:32","startHours":18.528101878195887,"endHours":19.528101878195887,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:32","end":"20:32","startHours":19.528101878195887,"endHours":20.528101878195887,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:32","end":"21:32","startHours":20.528101878195887,"endHours":21.528101878195887,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:32","end":"22:32","startHours":21.528101878195887,"endHours":22.528101878195887,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:32","end":"23:32","startHours":22.528101878195887,"endHours":23.528101878195887,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:32","end":"00:32","startHours":23.528101878195887,"endHours":24.528101878195887,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:32","end":"01:32","startHours":24.528101878195887,"endHours":25.528101878195887,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:32","end":"02:32","startHours":25.528101878195887,"endHours":26.528101878195887,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:32","end":"03:32","startHours":26.528101878195887,"endHours":27.528101878195887,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:32","end":"04:32","startHours":27.528101878195887,"endHours":28.528101878195887,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:32","end":"05:32","startHours":28.528101878195887,"endHours":29.528101878195887,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:32","end":"06:32","startHours":29.528101878195887,"endHours":30.528101878195887,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Dhvaja","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":-2.8082368783001144,"eotMinutes":-10.217919928808794,"ayanamsa":25.0571}},"calendars":{"vikram_samvat":2143,"vikram_samvatsara":"Siddhārthī","saka_samvat":2008,"saka_samvatsara":"Parābhava","bengali_samvat":1493,"malayalam_era":1262,"nanakshahi_year":617,"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 Trayodaśī · Vikram 2143 Siddhārthī · Śaka 2008 Parābhava"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 March 13, 2086 CE · Vṛndāvana · Vidhyamitra","description":"March 13, 2086 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 06:32, sūryāsta 18:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2086-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2086-03-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2086-03-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2086-03-13","x-default":"https://vidhyamitra.com/city/vrindavan/2086-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:20:20.190Z","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":"2026-06-01T20:20:20.190Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:20:20.190Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}