{"id":"vidhyamitra:city-day:rishikesh:2069-03-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2069-03-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2069-03-13","date_display":"March 13, 2069 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":2069,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476818.770833,"kali_year":5170,"ahargana":1888353.2708,"sun":{"sidereal_longitude":328.2406,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":207.432,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.1914,"elapsed_within_tithi_degrees":11.1914},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.432,"elapsed_within_degrees":7.432},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":175.6726},"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":2069,"month":3,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476818.770833,"ahargana":1888353.2708,"kali_year":5170,"ayanamsa_lahiri":24.8196,"grahas":{"sun":{"sidereal_longitude":328.225466,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":203.63356599999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":0.1158},"mars":{"sidereal_longitude":276.9211660000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":322.900666,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":309.69036600000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":327.66126600000007,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":158.85566600000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":205.9563,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.9563,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"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":2069,"month":3,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476818.770833,"kali_year":5170,"ahargana":1888353.2708,"sun":{"sidereal_longitude":328.2406,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":207.432,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":239.1914,"elapsed_within_tithi_degrees":11.1914},"nakshatra":{"number":16,"name":"Viśākhā","pada":3,"moon_longitude":207.432,"elapsed_within_degrees":7.432},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":175.6726},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.116,"elongation":120.809},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.116,"opposition_distance":59.191}},"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":11.915091954939832,"dayLengthDisplay":"11 Hours 54 Mins 54 Secs","nightLengthDisplay":"12 Hours 05 Mins 06 Secs","moonriseLocal":"22:48","moonsetLocal":"09:30","rahuKala":{"name":"Rāhu Kāla","start":"12:27","end":"13:57","startHours":12.452458665480147,"endHours":13.941845159847626,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:59","end":"09:28","startHours":7.984299182377709,"endHours":9.473685676745188,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:58","end":"12:27","startHours":10.963072171112668,"endHours":12.452458665480147,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:17","end":"09:40","startHours":9.275100810829525,"endHours":9.672270542660852,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:59","end":"07:19","startHours":6.99137485279939,"endHours":7.3091106382644515,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:51","startHours":12.05528893364882,"endHours":12.849628397311475,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:54","end":"05:42","startHours":4.90623376068492,"endHours":5.700573224347575,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:30","end":"06:30","startHours":5.501988358431911,"endHours":6.49491268801023,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:26","end":"15:14","startHours":14.438307324636785,"endHours":15.23264678829944,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.210004642950064,"endHours":18.610004642950063,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:54","startHours":18.410004642950064,"endHours":18.906466807739225,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.160004642950064,"endHours":19.910004642950064,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:51","startHours":24.05528893364882,"endHours":24.849628397311474,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:30","end":"07:59","startHours":6.49491268801023,"endHours":7.984299182377709,"quality":"auspicious"},{"name":"Amṛta","start":"07:59","end":"09:28","startHours":7.984299182377709,"endHours":9.473685676745188,"quality":"auspicious"},{"name":"Kāla","start":"09:28","end":"10:58","startHours":9.473685676745188,"endHours":10.963072171112668,"quality":"inauspicious"},{"name":"Śubha","start":"10:58","end":"12:27","startHours":10.963072171112668,"endHours":12.452458665480147,"quality":"auspicious"},{"name":"Roga","start":"12:27","end":"13:57","startHours":12.452458665480147,"endHours":13.941845159847626,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:26","startHours":13.941845159847626,"endHours":15.431231654215104,"quality":"inauspicious"},{"name":"Chala","start":"15:26","end":"16:55","startHours":15.431231654215104,"endHours":16.920618148582584,"quality":"neutral"},{"name":"Labha","start":"16:55","end":"18:25","startHours":16.920618148582584,"endHours":18.410004642950064,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:25","end":"19:55","startHours":18.410004642950064,"endHours":19.920618148582584,"quality":"inauspicious"},{"name":"Chala","start":"19:55","end":"21:26","startHours":19.920618148582584,"endHours":21.431231654215104,"quality":"neutral"},{"name":"Labha","start":"21:26","end":"22:57","startHours":21.431231654215104,"endHours":22.941845159847627,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:27","startHours":22.941845159847627,"endHours":24.452458665480147,"quality":"auspicious"},{"name":"Kāla","start":"00:27","end":"01:58","startHours":24.452458665480147,"endHours":25.963072171112668,"quality":"inauspicious"},{"name":"Śubha","start":"01:58","end":"03:28","startHours":25.963072171112668,"endHours":27.47368567674519,"quality":"auspicious"},{"name":"Roga","start":"03:28","end":"04:59","startHours":27.47368567674519,"endHours":28.98429918237771,"quality":"inauspicious"},{"name":"Udveg","start":"04:59","end":"06:30","startHours":28.98429918237771,"endHours":30.49491268801023,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:30","end":"07:30","startHours":6.49491268801023,"endHours":7.49491268801023,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:30","end":"08:30","startHours":7.49491268801023,"endHours":8.494912688010231,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:30","end":"09:30","startHours":8.494912688010231,"endHours":9.494912688010231,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:30","end":"10:30","startHours":9.494912688010231,"endHours":10.494912688010231,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:30","end":"11:30","startHours":10.494912688010231,"endHours":11.494912688010231,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:30","end":"12:30","startHours":11.494912688010231,"endHours":12.494912688010231,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:30","end":"13:30","startHours":12.494912688010231,"endHours":13.494912688010231,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:30","end":"14:30","startHours":13.494912688010231,"endHours":14.494912688010231,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:30","end":"15:30","startHours":14.494912688010231,"endHours":15.494912688010231,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:30","end":"16:30","startHours":15.494912688010231,"endHours":16.49491268801023,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:30","end":"17:30","startHours":16.49491268801023,"endHours":17.49491268801023,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:30","end":"18:30","startHours":17.49491268801023,"endHours":18.49491268801023,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:30","end":"19:30","startHours":18.49491268801023,"endHours":19.49491268801023,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:30","end":"20:30","startHours":19.49491268801023,"endHours":20.49491268801023,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:30","end":"21:30","startHours":20.49491268801023,"endHours":21.49491268801023,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:30","end":"22:30","startHours":21.49491268801023,"endHours":22.49491268801023,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:30","end":"23:30","startHours":22.49491268801023,"endHours":23.49491268801023,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:30","end":"00:30","startHours":23.49491268801023,"endHours":24.49491268801023,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:30","end":"01:30","startHours":24.49491268801023,"endHours":25.49491268801023,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:30","end":"02:30","startHours":25.49491268801023,"endHours":26.49491268801023,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:30","end":"03:30","startHours":26.49491268801023,"endHours":27.49491268801023,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:30","end":"04:30","startHours":27.49491268801023,"endHours":28.49491268801023,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:30","end":"05:30","startHours":28.49491268801023,"endHours":29.49491268801023,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:30","end":"06:30","startHours":29.49491268801023,"endHours":30.49491268801023,"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","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":-2.760482678068943,"eotMinutes":-10.217919928808794,"ayanamsa":24.8196}},"calendars":{"vikram_samvat":2126,"vikram_samvatsara":"Śubhakṛt","saka_samvat":1991,"saka_samvatsara":"Virodhi","bengali_samvat":1476,"malayalam_era":1245,"nanakshahi_year":600,"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 Pañcamī · Vikram 2126 Śubhakṛt · Śaka 1991 Virodhi"},"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":"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, 2069 CE · Ṛṣikeśa · Vidhyamitra","description":"March 13, 2069 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 06:30, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2069-03-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2069-03-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2069-03-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2069-03-13","x-default":"https://vidhyamitra.com/city/rishikesh/2069-03-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T03:17:46.611Z","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":"2026-05-31T03:17:46.611Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T03:17:46.611Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}