{"id":"vidhyamitra:city-day:rishikesh:2080-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2080-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2080-05-13","date_display":"May 13, 2080 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":2080,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480897.770833,"kali_year":5182,"ahargana":1892432.2708,"sun":{"sidereal_longitude":28.0569,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":310.7553,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.6985,"elapsed_within_tithi_degrees":6.6985},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.7553,"elapsed_within_degrees":4.0887},"yoga":{"number":26,"name":"Indra","sum_longitude":338.8122},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2080,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2480897.770833,"ahargana":1892432.2708,"kali_year":5182,"ayanamsa_lahiri":24.9756,"grahas":{"sun":{"sidereal_longitude":28.248819000000026,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":309.323619,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-2.8348},"mars":{"sidereal_longitude":246.709019,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":47.44131900000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":294.973519,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":25.361118999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":289.89541899999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":349.8313,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.8313,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"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":2080,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480897.770833,"kali_year":5182,"ahargana":1892432.2708,"sun":{"sidereal_longitude":28.0569,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":310.7553,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.6985,"elapsed_within_tithi_degrees":6.6985},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":310.7553,"elapsed_within_degrees":4.0887},"yoga":{"number":26,"name":"Indra","sum_longitude":338.8122},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.835,"elongation":77.302},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.835,"opposition_distance":102.698}},"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":"05:24","sunsetLocal":"19:02","solarNoonLocal":"12:13","dayLengthHours":13.635440566350535,"dayLengthDisplay":"13 Hours 38 Mins 08 Secs","nightLengthDisplay":"10 Hours 21 Mins 52 Secs","moonriseLocal":"01:18","moonsetLocal":"12:37","rahuKala":{"name":"Rāhu Kāla","start":"07:06","end":"08:49","startHours":7.106312475225943,"endHours":8.81074254601976,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:31","end":"12:13","startHours":10.515172616813576,"endHours":12.219602687607393,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:55","end":"15:38","startHours":13.92403275840121,"endHours":15.628462829195026,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.58348520324725,"endHours":9.037999888792267,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:58","end":"06:20","startHours":5.970025761363398,"endHours":6.333637509799412,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765088002062376,"endHours":12.674117373152411,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:30","startHours":3.5838236622520543,"endHours":4.49285303334209,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:24","startHours":4.265595690569581,"endHours":5.401882404432126,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.492176115332482,"endHours":15.401205486422517,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.83732297078266,"endHours":19.23732297078266,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.03732297078266,"endHours":19.605466327713934,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.78732297078266,"endHours":20.53732297078266,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765088002062374,"endHours":24.67411737315241,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:24","end":"07:06","startHours":5.401882404432126,"endHours":7.106312475225943,"quality":"auspicious"},{"name":"Kāla","start":"07:06","end":"08:49","startHours":7.106312475225943,"endHours":8.81074254601976,"quality":"inauspicious"},{"name":"Śubha","start":"08:49","end":"10:31","startHours":8.81074254601976,"endHours":10.515172616813576,"quality":"auspicious"},{"name":"Roga","start":"10:31","end":"12:13","startHours":10.515172616813576,"endHours":12.219602687607393,"quality":"inauspicious"},{"name":"Udveg","start":"12:13","end":"13:55","startHours":12.219602687607393,"endHours":13.92403275840121,"quality":"inauspicious"},{"name":"Chala","start":"13:55","end":"15:38","startHours":13.92403275840121,"endHours":15.628462829195026,"quality":"neutral"},{"name":"Labha","start":"15:38","end":"17:20","startHours":15.628462829195026,"endHours":17.332892899988842,"quality":"auspicious"},{"name":"Amṛta","start":"17:20","end":"19:02","startHours":17.332892899988842,"endHours":19.03732297078266,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:02","end":"20:20","startHours":19.03732297078266,"endHours":20.332892899988845,"quality":"neutral"},{"name":"Labha","start":"20:20","end":"21:38","startHours":20.332892899988845,"endHours":21.628462829195026,"quality":"auspicious"},{"name":"Amṛta","start":"21:38","end":"22:55","startHours":21.628462829195026,"endHours":22.92403275840121,"quality":"auspicious"},{"name":"Kāla","start":"22:55","end":"00:13","startHours":22.92403275840121,"endHours":24.21960268760739,"quality":"inauspicious"},{"name":"Śubha","start":"00:13","end":"01:31","startHours":24.21960268760739,"endHours":25.515172616813576,"quality":"auspicious"},{"name":"Roga","start":"01:31","end":"02:49","startHours":25.515172616813576,"endHours":26.81074254601976,"quality":"inauspicious"},{"name":"Udveg","start":"02:49","end":"04:06","startHours":26.81074254601976,"endHours":28.10631247522594,"quality":"inauspicious"},{"name":"Chala","start":"04:06","end":"05:24","startHours":28.10631247522594,"endHours":29.401882404432126,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.401882404432126,"endHours":6.401882404432126,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.401882404432126,"endHours":7.401882404432126,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.401882404432126,"endHours":8.401882404432126,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.401882404432126,"endHours":9.401882404432126,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.401882404432126,"endHours":10.401882404432126,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.401882404432126,"endHours":11.401882404432126,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.401882404432126,"endHours":12.401882404432126,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.401882404432126,"endHours":13.401882404432126,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.401882404432126,"endHours":14.401882404432126,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.401882404432126,"endHours":15.401882404432126,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.401882404432126,"endHours":16.401882404432126,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.401882404432126,"endHours":17.401882404432126,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.401882404432126,"endHours":18.401882404432126,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.401882404432126,"endHours":19.401882404432126,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.401882404432126,"endHours":20.401882404432126,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.401882404432126,"endHours":21.401882404432126,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.401882404432126,"endHours":22.401882404432126,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.401882404432126,"endHours":23.401882404432126,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.401882404432126,"endHours":24.401882404432126,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.401882404432126,"endHours":25.401882404432126,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.401882404432126,"endHours":26.401882404432126,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.401882404432126,"endHours":27.401882404432126,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.401882404432126,"endHours":28.401882404432126,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.401882404432126,"endHours":29.401882404432126,"planetary_lord":"Venus"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhātṛ","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.576972539873402,"eotMinutes":3.7534387435564067,"ayanamsa":24.9756}},"calendars":{"vikram_samvat":2137,"vikram_samvatsara":"Pramādī","saka_samvat":2002,"saka_samvatsara":"Śārvarī","bengali_samvat":1487,"malayalam_era":1256,"nanakshahi_year":611,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Kṛṣṇa Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Kṛṣṇa Navamī · Vikram 2137 Pramādī · Śaka 2002 Śārvarī"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 May 13, 2080 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2080 CE for Ṛṣikeśa: Kṛṣṇa Navamī, sūryodaya 05:24, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2080-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2080-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2080-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2080-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2080-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-24T16:23:34.595Z","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":"2026-05-24T16:23:34.595Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-24T16:23:34.595Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}