{"id":"vidhyamitra:city-day:rishikesh:2042-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2042-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2042-05-13","date_display":"May 13, 2042 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":2042,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467017.770833,"kali_year":5144,"ahargana":1878552.2708,"sun":{"sidereal_longitude":27.8964,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":303.5073,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.611,"elapsed_within_tithi_degrees":11.611},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":303.5073,"elapsed_within_degrees":10.174},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.4037},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2042,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2467017.770833,"ahargana":1878552.2708,"kali_year":5144,"ayanamsa_lahiri":24.4448,"grahas":{"sun":{"sidereal_longitude":27.99793699999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":301.016337,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false,"latitude":-3.9632},"mars":{"sidereal_longitude":116.98883699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":32.609437000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":213.35043700000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":58.991737,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":186.550837,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":5.2605,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":185.2605,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":2042,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2467017.770833,"kali_year":5144,"ahargana":1878552.2708,"sun":{"sidereal_longitude":27.8964,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":303.5073,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":275.611,"elapsed_within_tithi_degrees":11.611},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":303.5073,"elapsed_within_degrees":10.174},"yoga":{"number":25,"name":"Brahma","sum_longitude":331.4037},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.963,"elongation":84.389},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.963,"opposition_distance":95.611}},"eclipse_window_40days":[{"offset_days":-8,"type":"lunar","occurs":true,"moon_latitude":-0.943,"opposition_distance":2.405}]},"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":"05:25","sunsetLocal":"19:02","solarNoonLocal":"12:13","dayLengthHours":13.617881344249495,"dayLengthDisplay":"13 Hours 37 Mins 04 Secs","nightLengthDisplay":"10 Hours 22 Mins 56 Secs","moonriseLocal":"00:53","moonsetLocal":"11:57","rahuKala":{"name":"Rāhu Kāla","start":"15:37","end":"17:20","startHours":15.624073023669766,"endHours":17.326308191700953,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:49","end":"10:31","startHours":8.815132351545019,"endHours":10.517367519576204,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:13","end":"13:55","startHours":12.219602687607392,"endHours":13.921837855638579,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:35","end":"09:03","startHours":8.588167662474193,"endHours":9.042097040615843,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:20","startHours":5.978073738159707,"endHours":6.341217240673027,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:40","startHours":11.765673309465743,"endHours":12.673532065749043,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:30","startHours":3.5949445029160456,"endHours":4.502803259199345,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:17","end":"05:25","startHours":4.275838570128521,"endHours":5.410662015482645,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:24","startHours":14.489249578315642,"endHours":15.397108334598942,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:50","end":"19:14","startHours":18.82854335973214,"endHours":19.22854335973214,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:02","end":"19:36","startHours":19.02854335973214,"endHours":19.5959550824092,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:47","end":"20:32","startHours":18.77854335973214,"endHours":20.52854335973214,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:40","startHours":23.765673309465743,"endHours":24.67353206574904,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:25","end":"07:07","startHours":5.410662015482645,"endHours":7.112897183513832,"quality":"inauspicious"},{"name":"Udveg","start":"07:07","end":"08:49","startHours":7.112897183513832,"endHours":8.815132351545019,"quality":"inauspicious"},{"name":"Chala","start":"08:49","end":"10:31","startHours":8.815132351545019,"endHours":10.517367519576204,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"12:13","startHours":10.517367519576204,"endHours":12.219602687607392,"quality":"auspicious"},{"name":"Amṛta","start":"12:13","end":"13:55","startHours":12.219602687607392,"endHours":13.921837855638579,"quality":"auspicious"},{"name":"Kāla","start":"13:55","end":"15:37","startHours":13.921837855638579,"endHours":15.624073023669766,"quality":"inauspicious"},{"name":"Śubha","start":"15:37","end":"17:20","startHours":15.624073023669766,"endHours":17.326308191700953,"quality":"auspicious"},{"name":"Roga","start":"17:20","end":"19:02","startHours":17.326308191700953,"endHours":19.02854335973214,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:02","end":"20:20","startHours":19.02854335973214,"endHours":20.326308191700953,"quality":"inauspicious"},{"name":"Śubha","start":"20:20","end":"21:37","startHours":20.326308191700953,"endHours":21.624073023669766,"quality":"auspicious"},{"name":"Roga","start":"21:37","end":"22:55","startHours":21.624073023669766,"endHours":22.92183785563858,"quality":"inauspicious"},{"name":"Udveg","start":"22:55","end":"00:13","startHours":22.92183785563858,"endHours":24.21960268760739,"quality":"inauspicious"},{"name":"Chala","start":"00:13","end":"01:31","startHours":24.21960268760739,"endHours":25.517367519576204,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"02:49","startHours":25.517367519576204,"endHours":26.815132351545017,"quality":"auspicious"},{"name":"Amṛta","start":"02:49","end":"04:07","startHours":26.815132351545017,"endHours":28.11289718351383,"quality":"auspicious"},{"name":"Kāla","start":"04:07","end":"05:25","startHours":28.11289718351383,"endHours":29.410662015482643,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:25","end":"06:25","startHours":5.410662015482645,"endHours":6.410662015482645,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:25","end":"07:25","startHours":6.410662015482645,"endHours":7.410662015482645,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:25","end":"08:25","startHours":7.410662015482645,"endHours":8.410662015482645,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:25","end":"09:25","startHours":8.410662015482645,"endHours":9.410662015482645,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:25","end":"10:25","startHours":9.410662015482645,"endHours":10.410662015482645,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:25","end":"11:25","startHours":10.410662015482645,"endHours":11.410662015482645,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:25","end":"12:25","startHours":11.410662015482645,"endHours":12.410662015482645,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:25","end":"13:25","startHours":12.410662015482645,"endHours":13.410662015482645,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:25","end":"14:25","startHours":13.410662015482645,"endHours":14.410662015482645,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:25","end":"15:25","startHours":14.410662015482645,"endHours":15.410662015482645,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:25","end":"16:25","startHours":15.410662015482645,"endHours":16.410662015482643,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:25","end":"17:25","startHours":16.410662015482643,"endHours":17.410662015482643,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:25","end":"18:25","startHours":17.410662015482643,"endHours":18.410662015482643,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:25","end":"19:25","startHours":18.410662015482643,"endHours":19.410662015482643,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:25","end":"20:25","startHours":19.410662015482643,"endHours":20.410662015482643,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:25","end":"21:25","startHours":20.410662015482643,"endHours":21.410662015482643,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:25","end":"22:25","startHours":21.410662015482643,"endHours":22.410662015482643,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:25","end":"23:25","startHours":22.410662015482643,"endHours":23.410662015482643,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:25","end":"00:25","startHours":23.410662015482643,"endHours":24.410662015482643,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:25","end":"01:25","startHours":24.410662015482643,"endHours":25.410662015482643,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:25","end":"02:25","startHours":25.410662015482643,"endHours":26.410662015482643,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:25","end":"03:25","startHours":26.410662015482643,"endHours":27.410662015482643,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:25","end":"04:25","startHours":27.410662015482643,"endHours":28.410662015482643,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:25","end":"05:25","startHours":28.410662015482643,"endHours":29.410662015482643,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.37893955622823,"eotMinutes":3.7534387435564067,"ayanamsa":24.4448}},"calendars":{"vikram_samvat":2099,"vikram_samvatsara":"Yuva","saka_samvat":1964,"saka_samvatsara":"Dundubhi","bengali_samvat":1449,"malayalam_era":1218,"nanakshahi_year":573,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","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":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Aṣṭamī · Vikram 2099 Yuva · Śaka 1964 Dundubhi"},"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","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, 2042 CE · Ṛṣikeśa · Vidhyamitra","description":"May 13, 2042 CE for Ṛṣikeśa: Kṛṣṇa Aṣṭamī, sūryodaya 05:25, sūryāsta 19:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2042-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2042-05-13","sa":"https://sa.vidhyamitra.com/city/rishikesh/2042-05-13","hi":"https://hi.vidhyamitra.com/city/rishikesh/2042-05-13","x-default":"https://vidhyamitra.com/city/rishikesh/2042-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T11:00:29.434Z","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":"2026-06-02T11:00:29.434Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T11:00:29.434Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}