{"id":"vidhyamitra:city-day:perth:2090-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2090-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2090-01-13","date_display":"January 13, 2090 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":2090,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484429.770833,"kali_year":5191,"ahargana":1895964.2708,"sun":{"sidereal_longitude":267.8651,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":46.9991,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.134,"elapsed_within_tithi_degrees":7.134},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":46.9991,"elapsed_within_degrees":6.9991},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.8641},"karana":{"half_tithi_index":23,"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":2090,"month":1,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2484429.770833,"ahargana":1895964.2708,"kali_year":5191,"ayanamsa_lahiri":25.1107,"grahas":{"sun":{"sidereal_longitude":268.21167,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":46.14857000000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false,"latitude":-4.0544},"mars":{"sidereal_longitude":272.98287000000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":244.29137000000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":225.06767000000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":273.42857000000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":39.01546999999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":162.6889,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":342.6889,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2090,"month":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2484429.770833,"kali_year":5191,"ahargana":1895964.2708,"sun":{"sidereal_longitude":267.8651,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":46.9991,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":139.134,"elapsed_within_tithi_degrees":7.134},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3,"moon_longitude":46.9991,"elapsed_within_degrees":6.9991},"yoga":{"number":24,"name":"Śukla","sum_longitude":314.8641},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.054,"elongation":139.134},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.054,"opposition_distance":40.866}},"eclipse_window_40days":[]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:24","sunsetLocal":"19:26","solarNoonLocal":"12:25","dayLengthHours":14.03383711971573,"dayLengthDisplay":"14 Hours 02 Mins 02 Secs","nightLengthDisplay":"9 Hours 57 Mins 58 Secs","moonriseLocal":"16:33","moonsetLocal":"02:41","rahuKala":{"name":"Rāhu Kāla","start":"10:40","end":"12:25","startHours":10.665669218225094,"endHours":12.419898858189562,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:56","end":"17:41","startHours":15.928358138118494,"endHours":17.68258777808296,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:09","end":"08:55","startHours":7.1572099382961625,"endHours":8.911439578260628,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:41","end":"09:09","startHours":8.677542292932033,"endHours":9.145336863589224,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:59","end":"06:22","startHours":5.987723511653185,"endHours":6.361959168178937,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:53","startHours":11.95210428753237,"endHours":12.88769342884675,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:32","end":"04:28","startHours":3.5318020157029313,"endHours":4.467391157017314,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:14","end":"05:24","startHours":4.233493871688718,"endHours":5.402980298331696,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:46","end":"15:42","startHours":14.758871711475518,"endHours":15.6944608527899,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:14","end":"19:38","startHours":19.236817418047426,"endHours":19.636817418047425,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:26","end":"20:01","startHours":19.436817418047426,"endHours":20.021560631368914,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:11","end":"20:56","startHours":19.186817418047426,"endHours":20.936817418047426,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:53","startHours":23.95210428753237,"endHours":24.887693428846752,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:24","end":"07:09","startHours":5.402980298331696,"endHours":7.1572099382961625,"quality":"neutral"},{"name":"Labha","start":"07:09","end":"08:55","startHours":7.1572099382961625,"endHours":8.911439578260628,"quality":"auspicious"},{"name":"Amṛta","start":"08:55","end":"10:40","startHours":8.911439578260628,"endHours":10.665669218225094,"quality":"auspicious"},{"name":"Kāla","start":"10:40","end":"12:25","startHours":10.665669218225094,"endHours":12.419898858189562,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:10","startHours":12.419898858189562,"endHours":14.174128498154026,"quality":"auspicious"},{"name":"Roga","start":"14:10","end":"15:56","startHours":14.174128498154026,"endHours":15.928358138118494,"quality":"inauspicious"},{"name":"Udveg","start":"15:56","end":"17:41","startHours":15.928358138118494,"endHours":17.68258777808296,"quality":"inauspicious"},{"name":"Chala","start":"17:41","end":"19:26","startHours":17.68258777808296,"endHours":19.436817418047426,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:26","end":"20:41","startHours":19.436817418047426,"endHours":20.682587778082958,"quality":"inauspicious"},{"name":"Udveg","start":"20:41","end":"21:56","startHours":20.682587778082958,"endHours":21.928358138118494,"quality":"inauspicious"},{"name":"Chala","start":"21:56","end":"23:10","startHours":21.928358138118494,"endHours":23.174128498154026,"quality":"neutral"},{"name":"Labha","start":"23:10","end":"00:25","startHours":23.174128498154026,"endHours":24.419898858189562,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:40","startHours":24.419898858189562,"endHours":25.665669218225094,"quality":"auspicious"},{"name":"Kāla","start":"01:40","end":"02:55","startHours":25.665669218225094,"endHours":26.911439578260627,"quality":"inauspicious"},{"name":"Śubha","start":"02:55","end":"04:09","startHours":26.911439578260627,"endHours":28.157209938296162,"quality":"auspicious"},{"name":"Roga","start":"04:09","end":"05:24","startHours":28.157209938296162,"endHours":29.402980298331695,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:24","end":"06:24","startHours":5.402980298331696,"endHours":6.402980298331696,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:24","end":"07:24","startHours":6.402980298331696,"endHours":7.402980298331696,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:24","end":"08:24","startHours":7.402980298331696,"endHours":8.402980298331695,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:24","end":"09:24","startHours":8.402980298331695,"endHours":9.402980298331695,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:24","end":"10:24","startHours":9.402980298331695,"endHours":10.402980298331695,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:24","end":"11:24","startHours":10.402980298331695,"endHours":11.402980298331695,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:24","end":"12:24","startHours":11.402980298331695,"endHours":12.402980298331695,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:24","end":"13:24","startHours":12.402980298331695,"endHours":13.402980298331695,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:24","end":"14:24","startHours":13.402980298331695,"endHours":14.402980298331695,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:24","end":"15:24","startHours":14.402980298331695,"endHours":15.402980298331695,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:24","end":"16:24","startHours":15.402980298331695,"endHours":16.402980298331695,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:24","end":"17:24","startHours":16.402980298331695,"endHours":17.402980298331695,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:24","end":"18:24","startHours":17.402980298331695,"endHours":18.402980298331695,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:24","end":"19:24","startHours":18.402980298331695,"endHours":19.402980298331695,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:24","end":"20:24","startHours":19.402980298331695,"endHours":20.402980298331695,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:24","end":"21:24","startHours":20.402980298331695,"endHours":21.402980298331695,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:24","end":"22:24","startHours":21.402980298331695,"endHours":22.402980298331695,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:24","end":"23:24","startHours":22.402980298331695,"endHours":23.402980298331695,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:24","end":"00:24","startHours":23.402980298331695,"endHours":24.402980298331695,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:24","end":"01:24","startHours":24.402980298331695,"endHours":25.402980298331695,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:24","end":"02:24","startHours":25.402980298331695,"endHours":26.402980298331695,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:24","end":"03:24","startHours":26.402980298331695,"endHours":27.402980298331695,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:24","end":"04:24","startHours":27.402980298331695,"endHours":28.402980298331695,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:24","end":"05:24","startHours":28.402980298331695,"endHours":29.402980298331695,"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":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.422014259785183,"eotMinutes":-8.635931491373626,"ayanamsa":25.1107}},"calendars":{"vikram_samvat":2147,"vikram_samvatsara":"Rudhirodgāri","saka_samvat":2012,"saka_samvatsara":"Sādhāraṇa","bengali_samvat":1497,"malayalam_era":1266,"nanakshahi_year":621,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","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 Śukla Dvādaśī · Vikram 2147 Rudhirodgāri · Śaka 2012 Sādhāraṇa"},"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":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 13, 2090 CE · Perth, Australia · Vidhyamitra","description":"January 13, 2090 CE for Perth, Australia: Śukla Dvādaśī, sūryodaya 05:24, sūryāsta 19:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2090-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2090-01-13","sa":"https://sa.vidhyamitra.com/city/perth/2090-01-13","hi":"https://hi.vidhyamitra.com/city/perth/2090-01-13","x-default":"https://vidhyamitra.com/city/perth/2090-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T07:59:02.798Z","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":"2026-06-01T07:59:02.798Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T07:59:02.798Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}