{"id":"vidhyamitra:city-day:rishikesh:2077-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2077-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2077-03-13","date_display":"March 13, 2077 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":2077,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479740.770833,"kali_year":5178,"ahargana":1891275.2708,"sun":{"sidereal_longitude":328.1707,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":187.306,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.1353,"elapsed_within_tithi_degrees":3.1353},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.306,"elapsed_within_degrees":0.6393},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4767},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2077,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479740.770833,"ahargana":1891275.2708,"kali_year":5178,"ayanamsa_lahiri":24.9314,"grahas":{"sun":{"sidereal_longitude":328.17432499999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":184.34962500000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":3.1146},"mars":{"sidereal_longitude":342.095325,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":343.849625,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":198.35832499999992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":328.120225,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":254.41832499999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":51.1347,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.1347,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2077,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479740.770833,"kali_year":5178,"ahargana":1891275.2708,"sun":{"sidereal_longitude":328.1707,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":187.306,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":219.1353,"elapsed_within_tithi_degrees":3.1353},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.306,"elapsed_within_degrees":0.6393},"yoga":{"number":12,"name":"Dhruva","sum_longitude":155.4767},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.115,"elongation":140.865},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.115,"opposition_distance":39.135}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"06:30","sunsetLocal":"18:25","solarNoonLocal":"12:27","dayLengthHours":11.916946025519005,"dayLengthDisplay":"11 Hours 55 Mins 01 Secs","nightLengthDisplay":"12 Hours 04 Mins 59 Secs","moonriseLocal":"21:15","moonsetLocal":"08:28","rahuKala":{"name":"Rāhu Kāla","start":"09:28","end":"10:58","startHours":9.473222159100395,"endHours":10.962840412290271,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:57","end":"15:26","startHours":13.942076918670022,"endHours":15.431695171859898,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:30","end":"07:59","startHours":6.493985652720644,"endHours":7.9836039059105195,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:16","end":"09:40","startHours":9.274606392008412,"endHours":9.671837926192378,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:18","startHours":6.990525070450603,"endHours":7.308310297797776,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:51","startHours":12.055227131296181,"endHours":12.849690199664114,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:54","end":"05:42","startHours":4.905059515984776,"endHours":5.69952258435271,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:30","startHours":5.500906817260727,"endHours":6.493985652720644,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.438616336399981,"endHours":15.233079404767915,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.21093167823965,"endHours":18.61093167823965,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:54","startHours":18.41093167823965,"endHours":18.90747109596961,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.16093167823965,"endHours":19.91093167823965,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:51","startHours":24.05522713129618,"endHours":24.849690199664114,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:30","end":"07:59","startHours":6.493985652720644,"endHours":7.9836039059105195,"quality":"inauspicious"},{"name":"Śubha","start":"07:59","end":"09:28","startHours":7.9836039059105195,"endHours":9.473222159100395,"quality":"auspicious"},{"name":"Roga","start":"09:28","end":"10:58","startHours":9.473222159100395,"endHours":10.962840412290271,"quality":"inauspicious"},{"name":"Udveg","start":"10:58","end":"12:27","startHours":10.962840412290271,"endHours":12.452458665480147,"quality":"inauspicious"},{"name":"Chala","start":"12:27","end":"13:57","startHours":12.452458665480147,"endHours":13.942076918670022,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"15:26","startHours":13.942076918670022,"endHours":15.431695171859898,"quality":"auspicious"},{"name":"Amṛta","start":"15:26","end":"16:55","startHours":15.431695171859898,"endHours":16.921313425049775,"quality":"auspicious"},{"name":"Kāla","start":"16:55","end":"18:25","startHours":16.921313425049775,"endHours":18.41093167823965,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:25","end":"19:55","startHours":18.41093167823965,"endHours":19.921313425049775,"quality":"auspicious"},{"name":"Amṛta","start":"19:55","end":"21:26","startHours":19.921313425049775,"endHours":21.431695171859896,"quality":"auspicious"},{"name":"Kāla","start":"21:26","end":"22:57","startHours":21.431695171859896,"endHours":22.942076918670022,"quality":"inauspicious"},{"name":"Śubha","start":"22:57","end":"00:27","startHours":22.942076918670022,"endHours":24.452458665480147,"quality":"auspicious"},{"name":"Roga","start":"00:27","end":"01:58","startHours":24.452458665480147,"endHours":25.96284041229027,"quality":"inauspicious"},{"name":"Udveg","start":"01:58","end":"03:28","startHours":25.96284041229027,"endHours":27.473222159100395,"quality":"inauspicious"},{"name":"Chala","start":"03:28","end":"04:59","startHours":27.473222159100395,"endHours":28.98360390591052,"quality":"neutral"},{"name":"Labha","start":"04:59","end":"06:30","startHours":28.98360390591052,"endHours":30.493985652720646,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.493985652720644,"endHours":7.493985652720644,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.493985652720644,"endHours":8.493985652720644,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.493985652720644,"endHours":9.493985652720644,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.493985652720644,"endHours":10.493985652720644,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.493985652720644,"endHours":11.493985652720644,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.493985652720644,"endHours":12.493985652720644,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.493985652720644,"endHours":13.493985652720644,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.493985652720644,"endHours":14.493985652720644,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.493985652720644,"endHours":15.493985652720644,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.493985652720644,"endHours":16.493985652720646,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.493985652720646,"endHours":17.493985652720646,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.493985652720646,"endHours":18.493985652720646,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.493985652720646,"endHours":19.493985652720646,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.493985652720646,"endHours":20.493985652720646,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.493985652720646,"endHours":21.493985652720646,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.493985652720646,"endHours":22.493985652720646,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.493985652720646,"endHours":23.493985652720646,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.493985652720646,"endHours":24.493985652720646,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.493985652720646,"endHours":25.493985652720646,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.493985652720646,"endHours":26.493985652720646,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.493985652720646,"endHours":27.493985652720646,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.493985652720646,"endHours":28.493985652720646,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.493985652720646,"endHours":29.493985652720646,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.493985652720646,"endHours":30.493985652720646,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"East","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":-2.7365050265298345,"eotMinutes":-10.217919928808794,"ayanamsa":24.9314}},"calendars":{"vikram_samvat":2134,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1999,"saka_samvatsara":"Hemalambī","bengali_samvat":1484,"malayalam_era":1253,"nanakshahi_year":608,"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 Caturthī · Vikram 2134 Sādhāraṇa · Śaka 1999 Hemalambī"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"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, 2077 CE · Ṛṣikeśa · Vidhyamitra","description":"March 13, 2077 CE for Ṛṣikeśa: Kṛṣṇa Caturthī, sūryodaya 06:30, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2077-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2077-03-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2077-03-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2077-03-13","x-default":"https://vidhyamitra.com/city/rishikesh/2077-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:59:12.805Z","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":"2026-06-01T19:59:12.805Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:59:12.805Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}