{"id":"vidhyamitra:city-day:rishikesh:2165-01-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2165-01-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-01-02","date_display":"January 2, 2165 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":2165,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511811.770833,"kali_year":5266,"ahargana":1923346.2708,"sun":{"sidereal_longitude":255.1122,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8376,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.7255,"elapsed_within_tithi_degrees":5.7255},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8376,"elapsed_within_degrees":8.8376},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.9498},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2165,"month":1,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511811.770833,"ahargana":1923346.2708,"kali_year":5266,"ayanamsa_lahiri":26.158,"grahas":{"sun":{"sidereal_longitude":255.74487699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":125.783277,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false,"latitude":-1.7583},"mars":{"sidereal_longitude":233.22227700000008,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":251.96467699999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":324.206277,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":244.057677,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":242.98647699999992,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":151.8588,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":331.8588,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":1,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511811.770833,"kali_year":5266,"ahargana":1923346.2708,"sun":{"sidereal_longitude":255.1122,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":128.8376,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":233.7255,"elapsed_within_tithi_degrees":5.7255},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":128.8376,"elapsed_within_degrees":8.8376},"yoga":{"number":2,"name":"Prīti","sum_longitude":23.9498},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.758,"elongation":126.275},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.758,"opposition_distance":53.725}},"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":"07:13","sunsetLocal":"17:29","solarNoonLocal":"12:21","dayLengthHours":10.25421061465341,"dayLengthDisplay":"10 Hours 15 Mins 15 Secs","nightLengthDisplay":"13 Hours 44 Mins 45 Secs","moonriseLocal":"21:13","moonsetLocal":"10:09","rahuKala":{"name":"Rāhu Kāla","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.633098161587567,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:47","startHours":8.505992854260862,"endHours":9.78776918109254,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:04","end":"12:21","startHours":11.069545507924214,"endHours":12.35132183475589,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.616865670848314,"endHours":9.958672691336762,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:39","end":"07:55","startHours":7.651475303039745,"endHours":7.924920919430503,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:42","startHours":12.009514814267442,"endHours":12.693128855244337,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:51","end":"06:32","startHours":5.856988445475398,"endHours":6.540602486452292,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:22","end":"07:13","startHours":6.369698976208069,"endHours":7.224216527429186,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:45","startHours":14.060356937198126,"endHours":14.74397097817502,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.278427142082595,"endHours":17.678427142082594,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:54","startHours":17.478427142082595,"endHours":17.90568591769315,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.228427142082595,"endHours":18.978427142082595,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:42","startHours":24.009514814267444,"endHours":24.693128855244336,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:13","end":"08:30","startHours":7.224216527429186,"endHours":8.505992854260862,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:47","startHours":8.505992854260862,"endHours":9.78776918109254,"quality":"auspicious"},{"name":"Kāla","start":"09:47","end":"11:04","startHours":9.78776918109254,"endHours":11.069545507924214,"quality":"inauspicious"},{"name":"Śubha","start":"11:04","end":"12:21","startHours":11.069545507924214,"endHours":12.35132183475589,"quality":"auspicious"},{"name":"Roga","start":"12:21","end":"13:38","startHours":12.35132183475589,"endHours":13.633098161587567,"quality":"inauspicious"},{"name":"Udveg","start":"13:38","end":"14:55","startHours":13.633098161587567,"endHours":14.914874488419244,"quality":"inauspicious"},{"name":"Chala","start":"14:55","end":"16:12","startHours":14.914874488419244,"endHours":16.19665081525092,"quality":"neutral"},{"name":"Labha","start":"16:12","end":"17:29","startHours":16.19665081525092,"endHours":17.478427142082595,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:29","end":"19:12","startHours":17.478427142082595,"endHours":19.19665081525092,"quality":"inauspicious"},{"name":"Chala","start":"19:12","end":"20:55","startHours":19.19665081525092,"endHours":20.914874488419244,"quality":"neutral"},{"name":"Labha","start":"20:55","end":"22:38","startHours":20.914874488419244,"endHours":22.633098161587565,"quality":"auspicious"},{"name":"Amṛta","start":"22:38","end":"00:21","startHours":22.633098161587565,"endHours":24.35132183475589,"quality":"auspicious"},{"name":"Kāla","start":"00:21","end":"02:04","startHours":24.35132183475589,"endHours":26.069545507924214,"quality":"inauspicious"},{"name":"Śubha","start":"02:04","end":"03:47","startHours":26.069545507924214,"endHours":27.787769181092536,"quality":"auspicious"},{"name":"Roga","start":"03:47","end":"05:30","startHours":27.787769181092536,"endHours":29.50599285426086,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:13","startHours":29.50599285426086,"endHours":31.224216527429185,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:13","end":"08:13","startHours":7.224216527429186,"endHours":8.224216527429185,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:13","end":"09:13","startHours":8.224216527429185,"endHours":9.224216527429185,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:13","end":"10:13","startHours":9.224216527429185,"endHours":10.224216527429185,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:13","end":"11:13","startHours":10.224216527429185,"endHours":11.224216527429185,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:13","end":"12:13","startHours":11.224216527429185,"endHours":12.224216527429185,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:13","end":"13:13","startHours":12.224216527429185,"endHours":13.224216527429185,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:13","end":"14:13","startHours":13.224216527429185,"endHours":14.224216527429185,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:13","end":"15:13","startHours":14.224216527429185,"endHours":15.224216527429185,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:13","end":"16:13","startHours":15.224216527429185,"endHours":16.224216527429185,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:13","end":"17:13","startHours":16.224216527429185,"endHours":17.224216527429185,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:13","end":"18:13","startHours":17.224216527429185,"endHours":18.224216527429185,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:13","end":"19:13","startHours":18.224216527429185,"endHours":19.224216527429185,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:13","end":"20:13","startHours":19.224216527429185,"endHours":20.224216527429185,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:13","end":"21:13","startHours":20.224216527429185,"endHours":21.224216527429185,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:13","end":"22:13","startHours":21.224216527429185,"endHours":22.224216527429185,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:13","end":"23:13","startHours":22.224216527429185,"endHours":23.224216527429185,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:13","end":"00:13","startHours":23.224216527429185,"endHours":24.224216527429185,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:13","end":"01:13","startHours":24.224216527429185,"endHours":25.224216527429185,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:13","end":"02:13","startHours":25.224216527429185,"endHours":26.224216527429185,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:13","end":"03:13","startHours":26.224216527429185,"endHours":27.224216527429185,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:13","end":"04:13","startHours":27.224216527429185,"endHours":28.224216527429185,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:13","end":"05:13","startHours":28.224216527429185,"endHours":29.224216527429185,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:13","end":"06:13","startHours":29.224216527429185,"endHours":30.224216527429185,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:13","end":"07:13","startHours":30.224216527429185,"endHours":31.224216527429185,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.903527791677806,"eotMinutes":-4.149710085353452,"ayanamsa":26.158}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"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":[]},"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 January 2, 2165 CE · Ṛṣikeśa · Vidhyamitra","description":"January 2, 2165 CE for Ṛṣikeśa: Kṛṣṇa Pañcamī, sūryodaya 07:13, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2165-01-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2165-01-02","sa":"https://sa.vidhyamitra.com/city/rishikesh/2165-01-02","hi":"https://hi.vidhyamitra.com/city/rishikesh/2165-01-02","x-default":"https://vidhyamitra.com/city/rishikesh/2165-01-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T09:50:06.941Z","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":"2026-05-31T09:50:06.941Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T09:50:06.941Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}