{"id":"vidhyamitra:city-day:rishikesh:2078-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2078-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2078-05-13","date_display":"May 13, 2078 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":2078,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480166.770833,"kali_year":5180,"ahargana":1891701.2708,"sun":{"sidereal_longitude":27.5939,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":45.2736,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.6798,"elapsed_within_tithi_degrees":5.6798},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":45.2736,"elapsed_within_degrees":5.2736},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":72.8675},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2078,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2480166.770833,"ahargana":1891701.2708,"kali_year":5180,"ayanamsa_lahiri":24.9477,"grahas":{"sun":{"sidereal_longitude":27.778847999999982,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":45.96184800000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":1.2927},"mars":{"sidereal_longitude":185.47534799999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":13.598748,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":226.93924800000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":349.486648,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":266.816248,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":28.5632,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":208.5632,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2078,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480166.770833,"kali_year":5180,"ahargana":1891701.2708,"sun":{"sidereal_longitude":27.5939,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":45.2736,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":17.6798,"elapsed_within_tithi_degrees":5.6798},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2,"moon_longitude":45.2736,"elapsed_within_degrees":5.2736},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":72.8675},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.293,"elongation":17.68},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.293,"opposition_distance":162.32}},"eclipse_window_40days":[{"offset_days":-16,"type":"lunar","occurs":true,"moon_latitude":1.379,"opposition_distance":0.621},{"offset_days":14,"type":"lunar","occurs":true,"moon_latitude":-1.244,"opposition_distance":2.899}]},"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":13.624284970114072,"dayLengthDisplay":"13 Hours 37 Mins 27 Secs","nightLengthDisplay":"10 Hours 22 Mins 33 Secs","moonriseLocal":"06:29","moonsetLocal":"20:23","rahuKala":{"name":"Rāhu Kāla","start":"10:31","end":"12:13","startHours":10.516567066343134,"endHours":12.219602687607393,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:38","end":"17:20","startHours":15.62567393013591,"endHours":17.32870955140017,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:07","end":"08:49","startHours":7.110495823814617,"endHours":8.813531445078876,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:02","startHours":8.586460028910308,"endHours":9.040602861247443,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:20","startHours":5.975138742971777,"endHours":6.338453008841485,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765459855270258,"endHours":12.673745519944529,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:35","end":"04:30","startHours":3.5908888732018145,"endHours":4.499174537876086,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:16","end":"05:24","startHours":4.272103121707518,"endHours":5.407460202550357,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.490316849293073,"endHours":15.398602513967345,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.83174517266443,"endHours":19.23174517266443,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.03174517266443,"endHours":19.599423713085848,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.78174517266443,"endHours":20.53174517266443,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765459855270255,"endHours":24.67374551994453,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:24","end":"07:07","startHours":5.407460202550357,"endHours":7.110495823814617,"quality":"neutral"},{"name":"Labha","start":"07:07","end":"08:49","startHours":7.110495823814617,"endHours":8.813531445078876,"quality":"auspicious"},{"name":"Amṛta","start":"08:49","end":"10:31","startHours":8.813531445078876,"endHours":10.516567066343134,"quality":"auspicious"},{"name":"Kāla","start":"10:31","end":"12:13","startHours":10.516567066343134,"endHours":12.219602687607393,"quality":"inauspicious"},{"name":"Śubha","start":"12:13","end":"13:55","startHours":12.219602687607393,"endHours":13.922638308871653,"quality":"auspicious"},{"name":"Roga","start":"13:55","end":"15:38","startHours":13.922638308871653,"endHours":15.62567393013591,"quality":"inauspicious"},{"name":"Udveg","start":"15:38","end":"17:20","startHours":15.62567393013591,"endHours":17.32870955140017,"quality":"inauspicious"},{"name":"Chala","start":"17:20","end":"19:02","startHours":17.32870955140017,"endHours":19.03174517266443,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:02","end":"20:20","startHours":19.03174517266443,"endHours":20.32870955140017,"quality":"inauspicious"},{"name":"Udveg","start":"20:20","end":"21:38","startHours":20.32870955140017,"endHours":21.62567393013591,"quality":"inauspicious"},{"name":"Chala","start":"21:38","end":"22:55","startHours":21.62567393013591,"endHours":22.92263830887165,"quality":"neutral"},{"name":"Labha","start":"22:55","end":"00:13","startHours":22.92263830887165,"endHours":24.21960268760739,"quality":"auspicious"},{"name":"Amṛta","start":"00:13","end":"01:31","startHours":24.21960268760739,"endHours":25.516567066343136,"quality":"auspicious"},{"name":"Kāla","start":"01:31","end":"02:49","startHours":25.516567066343136,"endHours":26.813531445078876,"quality":"inauspicious"},{"name":"Śubha","start":"02:49","end":"04:07","startHours":26.813531445078876,"endHours":28.110495823814617,"quality":"auspicious"},{"name":"Roga","start":"04:07","end":"05:24","startHours":28.110495823814617,"endHours":29.407460202550357,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.407460202550357,"endHours":6.407460202550357,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.407460202550357,"endHours":7.407460202550357,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.407460202550357,"endHours":8.407460202550357,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.407460202550357,"endHours":9.407460202550357,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.407460202550357,"endHours":10.407460202550357,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.407460202550357,"endHours":11.407460202550357,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.407460202550357,"endHours":12.407460202550357,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.407460202550357,"endHours":13.407460202550357,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.407460202550357,"endHours":14.407460202550357,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.407460202550357,"endHours":15.407460202550357,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.407460202550357,"endHours":16.407460202550357,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.407460202550357,"endHours":17.407460202550357,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.407460202550357,"endHours":18.407460202550357,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.407460202550357,"endHours":19.407460202550357,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.407460202550357,"endHours":20.407460202550357,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.407460202550357,"endHours":21.407460202550357,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.407460202550357,"endHours":22.407460202550357,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.407460202550357,"endHours":23.407460202550357,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.407460202550357,"endHours":24.407460202550357,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.407460202550357,"endHours":25.407460202550357,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.407460202550357,"endHours":26.407460202550357,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.407460202550357,"endHours":27.407460202550357,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.407460202550357,"endHours":28.407460202550357,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.407460202550357,"endHours":29.407460202550357,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.451226215159476,"eotMinutes":3.7534387435564067,"ayanamsa":24.9477}},"calendars":{"vikram_samvat":2135,"vikram_samvatsara":"Virodhakṛt","saka_samvat":2000,"saka_samvatsara":"Vilambī","bengali_samvat":1485,"malayalam_era":1254,"nanakshahi_year":609,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Dvitīyā · Vikram 2135 Virodhakṛt · Śaka 2000 Vilambī"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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 May 13, 2078 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2078 CE for Ṛṣikeśa: Śukla Dvitīyā, sūryodaya 05:24, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2078-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2078-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2078-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2078-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2078-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:54:48.894Z","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":"2026-06-01T03:54:48.894Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:54:48.894Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}