{"id":"vidhyamitra:city-day:vrindavan:2168-03-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2168-03-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-03-15","date_display":"March 15, 2168 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":2168,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512979.770833,"kali_year":5269,"ahargana":1924514.2708,"sun":{"sidereal_longitude":328.6233,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":35.2916,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.6683,"elapsed_within_tithi_degrees":6.6683},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.2916,"elapsed_within_degrees":8.6249},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.9149},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2168,"month":3,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512979.770833,"ahargana":1924514.2708,"kali_year":5269,"ayanamsa_lahiri":26.2026,"grahas":{"sun":{"sidereal_longitude":328.83875,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":36.04804999999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-3.6705},"mars":{"sidereal_longitude":97.41964999999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":328.67985,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":67.54245000000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":316.05385,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":281.31735000000003,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":89.9725,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":269.9725,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","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":2168,"month":3,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512979.770833,"kali_year":5269,"ahargana":1924514.2708,"sun":{"sidereal_longitude":328.6233,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":35.2916,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":66.6683,"elapsed_within_tithi_degrees":6.6683},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":35.2916,"elapsed_within_degrees":8.6249},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":3.9149},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.67,"elongation":66.668},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.67,"opposition_distance":113.332}},"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":"06:29","sunsetLocal":"18:29","solarNoonLocal":"12:29","dayLengthHours":11.988179699636264,"dayLengthDisplay":"11 Hours 59 Mins 17 Secs","nightLengthDisplay":"12 Hours 00 Mins 43 Secs","moonriseLocal":"10:10","moonsetLocal":"23:46","rahuKala":{"name":"Rāhu Kāla","start":"15:29","end":"16:59","startHours":15.48060469179634,"endHours":16.979127154250875,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:29","end":"10:59","startHours":9.486514841978208,"endHours":10.98503730443274,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:29","end":"13:59","startHours":12.483559766887275,"endHours":13.982082229341806,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:41","startHours":9.286711846984272,"endHours":9.686317836972146,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:19","startHours":6.988977404553986,"endHours":7.308662196544287,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:53","startHours":12.0839537768994,"endHours":12.883165756875151,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:53","end":"05:41","startHours":4.89104595711764,"endHours":5.690257937093391,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:29","end":"06:29","startHours":5.490454942099453,"endHours":6.489469917069142,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:17","startHours":14.481589716826651,"endHours":15.280801696802403,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.277649616705407,"endHours":18.677649616705406,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"18:59","startHours":18.477649616705406,"endHours":18.97715710419025,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.227649616705406,"endHours":19.977649616705406,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:53","startHours":24.0839537768994,"endHours":24.88316575687515,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:29","end":"07:59","startHours":6.489469917069142,"endHours":7.987992379523675,"quality":"inauspicious"},{"name":"Udveg","start":"07:59","end":"09:29","startHours":7.987992379523675,"endHours":9.486514841978208,"quality":"inauspicious"},{"name":"Chala","start":"09:29","end":"10:59","startHours":9.486514841978208,"endHours":10.98503730443274,"quality":"neutral"},{"name":"Labha","start":"10:59","end":"12:29","startHours":10.98503730443274,"endHours":12.483559766887275,"quality":"auspicious"},{"name":"Amṛta","start":"12:29","end":"13:59","startHours":12.483559766887275,"endHours":13.982082229341806,"quality":"auspicious"},{"name":"Kāla","start":"13:59","end":"15:29","startHours":13.982082229341806,"endHours":15.48060469179634,"quality":"inauspicious"},{"name":"Śubha","start":"15:29","end":"16:59","startHours":15.48060469179634,"endHours":16.979127154250875,"quality":"auspicious"},{"name":"Roga","start":"16:59","end":"18:29","startHours":16.979127154250875,"endHours":18.477649616705406,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:29","end":"19:59","startHours":18.477649616705406,"endHours":19.97912715425087,"quality":"inauspicious"},{"name":"Śubha","start":"19:59","end":"21:29","startHours":19.97912715425087,"endHours":21.48060469179634,"quality":"auspicious"},{"name":"Roga","start":"21:29","end":"22:59","startHours":21.48060469179634,"endHours":22.982082229341806,"quality":"inauspicious"},{"name":"Udveg","start":"22:59","end":"00:29","startHours":22.982082229341806,"endHours":24.483559766887275,"quality":"inauspicious"},{"name":"Chala","start":"00:29","end":"01:59","startHours":24.483559766887275,"endHours":25.98503730443274,"quality":"neutral"},{"name":"Labha","start":"01:59","end":"03:29","startHours":25.98503730443274,"endHours":27.486514841978206,"quality":"auspicious"},{"name":"Amṛta","start":"03:29","end":"04:59","startHours":27.486514841978206,"endHours":28.987992379523675,"quality":"auspicious"},{"name":"Kāla","start":"04:59","end":"06:29","startHours":28.987992379523675,"endHours":30.489469917069144,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.489469917069142,"endHours":7.489469917069142,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.489469917069142,"endHours":8.489469917069142,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.489469917069142,"endHours":9.489469917069142,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.489469917069142,"endHours":10.489469917069142,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.489469917069142,"endHours":11.489469917069142,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.489469917069142,"endHours":12.489469917069142,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.489469917069142,"endHours":13.489469917069142,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.489469917069142,"endHours":14.489469917069142,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.489469917069142,"endHours":15.489469917069142,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.489469917069142,"endHours":16.489469917069144,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.489469917069144,"endHours":17.489469917069144,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.489469917069144,"endHours":18.489469917069144,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.489469917069144,"endHours":19.489469917069144,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.489469917069144,"endHours":20.489469917069144,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.489469917069144,"endHours":21.489469917069144,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.489469917069144,"endHours":22.489469917069144,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.489469917069144,"endHours":23.489469917069144,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.489469917069144,"endHours":24.489469917069144,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.489469917069144,"endHours":25.489469917069144,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.489469917069144,"endHours":26.489469917069144,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.489469917069144,"endHours":27.489469917069144,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.489469917069144,"endHours":28.489469917069144,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.489469917069144,"endHours":29.489469917069144,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.489469917069144,"endHours":30.489469917069144,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Chatra","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":-1.970143222339893,"eotMinutes":-9.650786013236482,"ayanamsa":26.2026}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","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":"Śiśira (Winter)","display_summary":"Phālguna Śukla Ṣaṣṭhī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","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 15, 2168 CE · Vṛndāvana · Vidhyamitra","description":"March 15, 2168 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 06:29, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2168-03-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2168-03-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2168-03-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2168-03-15","x-default":"https://vidhyamitra.com/city/vrindavan/2168-03-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:24:27.088Z","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":"2026-06-01T04:24:27.088Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:24:27.088Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}