{"id":"vidhyamitra:city-day:rishikesh:2026-10-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2026-10-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2026-10-24","date_display":"October 24, 2026 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":2026,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461337.770833,"kali_year":5128,"ahargana":1872872.2708,"sun":{"sidereal_longitude":185.6361,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":337.8016,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.1655,"elapsed_within_tithi_degrees":8.1655},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.8016,"elapsed_within_degrees":4.4683},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.4377},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2026,"month":10,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2461337.770833,"ahargana":1872872.2708,"kali_year":5128,"ayanamsa_lahiri":24.2275,"grahas":{"sun":{"sidereal_longitude":186.41465500000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":338.688155,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":2.3553},"mars":{"sidereal_longitude":109.94405500000005,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":206.64645500000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":118.84265500000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":186.29675500000008,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":345.634855,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":306.2142,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":126.2142,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2026,"month":10,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2461337.770833,"kali_year":5128,"ahargana":1872872.2708,"sun":{"sidereal_longitude":185.6361,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":337.8016,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.1655,"elapsed_within_tithi_degrees":8.1655},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.8016,"elapsed_within_degrees":4.4683},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":163.4377},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.355,"elongation":152.165},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.355,"opposition_distance":27.835}},"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":"06:24","sunsetLocal":"17:37","solarNoonLocal":"12:01","dayLengthHours":11.213434237770004,"dayLengthDisplay":"11 Hours 12 Mins 48 Secs","nightLengthDisplay":"12 Hours 47 Mins 12 Secs","moonriseLocal":"16:04","moonsetLocal":"04:15","rahuKala":{"name":"Rāhu Kāla","start":"09:13","end":"10:37","startHours":9.209592272532666,"endHours":10.611271552253918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:25","end":"14:49","startHours":13.414630111696418,"endHours":14.816309391417668,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:24","end":"07:48","startHours":6.406233713090165,"endHours":7.807912992811415,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:01","end":"09:24","startHours":9.022701701903166,"endHours":9.396482843162167,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:52","end":"07:10","startHours":6.873460139663915,"endHours":7.172485052671115,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:23","startHours":11.639169690716166,"endHours":12.386731973234166,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:40","startHours":4.911109148054164,"endHours":5.658671430572165,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:24","startHours":5.4717808599426645,"endHours":6.406233713090165,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:38","startHours":13.881856538270167,"endHours":14.629418820788167,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.41966795086017,"endHours":17.81966795086017,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:05","startHours":17.61966795086017,"endHours":18.086894377433918,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.36966795086017,"endHours":19.11966795086017,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:23","startHours":23.63916969071617,"endHours":24.386731973234166,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:24","end":"07:48","startHours":6.406233713090165,"endHours":7.807912992811415,"quality":"inauspicious"},{"name":"Śubha","start":"07:48","end":"09:13","startHours":7.807912992811415,"endHours":9.209592272532666,"quality":"auspicious"},{"name":"Roga","start":"09:13","end":"10:37","startHours":9.209592272532666,"endHours":10.611271552253918,"quality":"inauspicious"},{"name":"Udveg","start":"10:37","end":"12:01","startHours":10.611271552253918,"endHours":12.012950831975168,"quality":"inauspicious"},{"name":"Chala","start":"12:01","end":"13:25","startHours":12.012950831975168,"endHours":13.414630111696418,"quality":"neutral"},{"name":"Labha","start":"13:25","end":"14:49","startHours":13.414630111696418,"endHours":14.816309391417668,"quality":"auspicious"},{"name":"Amṛta","start":"14:49","end":"16:13","startHours":14.816309391417668,"endHours":16.21798867113892,"quality":"auspicious"},{"name":"Kāla","start":"16:13","end":"17:37","startHours":16.21798867113892,"endHours":17.61966795086017,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:37","end":"19:13","startHours":17.61966795086017,"endHours":19.21798867113892,"quality":"auspicious"},{"name":"Amṛta","start":"19:13","end":"20:49","startHours":19.21798867113892,"endHours":20.81630939141767,"quality":"auspicious"},{"name":"Kāla","start":"20:49","end":"22:25","startHours":20.81630939141767,"endHours":22.414630111696418,"quality":"inauspicious"},{"name":"Śubha","start":"22:25","end":"00:01","startHours":22.414630111696418,"endHours":24.012950831975168,"quality":"auspicious"},{"name":"Roga","start":"00:01","end":"01:37","startHours":24.012950831975168,"endHours":25.611271552253918,"quality":"inauspicious"},{"name":"Udveg","start":"01:37","end":"03:13","startHours":25.611271552253918,"endHours":27.209592272532667,"quality":"inauspicious"},{"name":"Chala","start":"03:13","end":"04:48","startHours":27.209592272532667,"endHours":28.807912992811417,"quality":"neutral"},{"name":"Labha","start":"04:48","end":"06:24","startHours":28.807912992811417,"endHours":30.406233713090167,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:24","end":"07:24","startHours":6.406233713090165,"endHours":7.406233713090165,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:24","end":"08:24","startHours":7.406233713090165,"endHours":8.406233713090165,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:24","end":"09:24","startHours":8.406233713090165,"endHours":9.406233713090165,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:24","end":"10:24","startHours":9.406233713090165,"endHours":10.406233713090165,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:24","end":"11:24","startHours":10.406233713090165,"endHours":11.406233713090165,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:24","end":"12:24","startHours":11.406233713090165,"endHours":12.406233713090165,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:24","end":"13:24","startHours":12.406233713090165,"endHours":13.406233713090165,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:24","end":"14:24","startHours":13.406233713090165,"endHours":14.406233713090165,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:24","end":"15:24","startHours":14.406233713090165,"endHours":15.406233713090165,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:24","end":"16:24","startHours":15.406233713090165,"endHours":16.406233713090167,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:24","end":"17:24","startHours":16.406233713090167,"endHours":17.406233713090167,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:24","end":"18:24","startHours":17.406233713090167,"endHours":18.406233713090167,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:24","end":"19:24","startHours":18.406233713090167,"endHours":19.406233713090167,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:24","end":"20:24","startHours":19.406233713090167,"endHours":20.406233713090167,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:24","end":"21:24","startHours":20.406233713090167,"endHours":21.406233713090167,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:24","end":"22:24","startHours":21.406233713090167,"endHours":22.406233713090167,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:24","end":"23:24","startHours":22.406233713090167,"endHours":23.406233713090167,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:24","end":"00:24","startHours":23.406233713090167,"endHours":24.406233713090167,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:24","end":"01:24","startHours":24.406233713090167,"endHours":25.406233713090167,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:24","end":"02:24","startHours":25.406233713090167,"endHours":26.406233713090167,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:24","end":"03:24","startHours":26.406233713090167,"endHours":27.406233713090167,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:24","end":"04:24","startHours":27.406233713090167,"endHours":28.406233713090167,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:24","end":"05:24","startHours":28.406233713090167,"endHours":29.406233713090167,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:24","end":"06:24","startHours":29.406233713090167,"endHours":30.406233713090167,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-11.695718344246446,"eotMinutes":16.152550081490062,"ayanamsa":24.2275}},"calendars":{"vikram_samvat":2083,"vikram_samvatsara":"Siddhārthī","saka_samvat":1948,"saka_samvatsara":"Parābhava","bengali_samvat":1433,"malayalam_era":1202,"nanakshahi_year":557,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Trayodaśī · Vikram 2083 Siddhārthī · Śaka 1948 Parābhava"},"festivals":[{"id":"tula-sankranti","name":"Tulā Saṅkrānti","name_sanskrit":"तुला सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Libra.","vrata":false,"detection":{"sun_rashi":"Tulā"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 October 24, 2026 CE · Ṛṣikeśa · Vidhyamitra","description":"October 24, 2026 CE for Ṛṣikeśa: Śukla Trayodaśī, sūryodaya 06:24, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2026-10-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2026-10-24","sa":"https://sa.vidhyamitra.com/city/rishikesh/2026-10-24","hi":"https://hi.vidhyamitra.com/city/rishikesh/2026-10-24","x-default":"https://vidhyamitra.com/city/rishikesh/2026-10-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:51:21.265Z","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":"2026-05-14T19:51:21.265Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:51:21.265Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}