{"id":"vidhyamitra:city-day:perth:2106-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/2106-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2106-10-13","date_display":"October 13, 2106 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":2106,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490545.770833,"kali_year":5208,"ahargana":1902080.2708,"sun":{"sidereal_longitude":173.0072,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":352.8775,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.8703,"elapsed_within_tithi_degrees":11.8703},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.8775,"elapsed_within_degrees":6.2108},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.8847},"karana":{"half_tithi_index":29,"name":"Bava"},"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":2106,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2490545.770833,"ahargana":1902080.2708,"kali_year":5208,"ayanamsa_lahiri":25.3446,"grahas":{"sun":{"sidereal_longitude":174.00619400000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":354.829594,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":1.9538},"mars":{"sidereal_longitude":212.04659400000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":185.64879399999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":16.720193999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":154.16599399999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":244.50659399999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":198.6338,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":18.6338,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2106,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2490545.770833,"kali_year":5208,"ahargana":1902080.2708,"sun":{"sidereal_longitude":173.0072,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":352.8775,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":15,"name":"Pūrṇimā","paksha":"Śukla","full_name":"Śukla Pūrṇimā","elongation_degrees":179.8703,"elapsed_within_tithi_degrees":11.8703},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.8775,"elapsed_within_degrees":6.2108},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":165.8847},"karana":{"half_tithi_index":29,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.954,"elongation":179.87},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.954,"opposition_distance":0.13}},"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":"05:39","sunsetLocal":"18:25","solarNoonLocal":"12:02","dayLengthHours":12.766761524197486,"dayLengthDisplay":"12 Hours 46 Mins 00 Secs","nightLengthDisplay":"11 Hours 14 Mins 00 Secs","moonriseLocal":"18:22","moonsetLocal":"05:48","rahuKala":{"name":"Rāhu Kāla","start":"12:02","end":"13:38","startHours":12.035259513198742,"endHours":13.631104703723427,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:15","end":"08:51","startHours":7.247723941624684,"endHours":8.84356913214937,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:26","end":"12:02","startHours":10.439414322674056,"endHours":12.035259513198742,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:38","end":"09:03","startHours":8.630789773412745,"endHours":9.056348490885995,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:11","end":"06:31","startHours":6.18382714794156,"endHours":6.52427412192016,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:37","end":"12:28","startHours":11.609700795725493,"endHours":12.460818230671991,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:57","end":"04:48","startHours":3.949643881207,"endHours":4.800761316153499,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:35","end":"05:39","startHours":4.587981957416874,"endHours":5.651878751099998,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"15:01","startHours":14.163053100564989,"endHours":15.014170535511488,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:13","end":"18:37","startHours":18.218640275297485,"endHours":18.618640275297484,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:25","end":"18:57","startHours":18.418640275297484,"endHours":18.950588672139045,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:10","end":"19:55","startHours":18.168640275297484,"endHours":19.918640275297484,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:37","end":"00:28","startHours":23.60970079572549,"endHours":24.460818230671993,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:39","end":"07:15","startHours":5.651878751099998,"endHours":7.247723941624684,"quality":"auspicious"},{"name":"Amṛta","start":"07:15","end":"08:51","startHours":7.247723941624684,"endHours":8.84356913214937,"quality":"auspicious"},{"name":"Kāla","start":"08:51","end":"10:26","startHours":8.84356913214937,"endHours":10.439414322674056,"quality":"inauspicious"},{"name":"Śubha","start":"10:26","end":"12:02","startHours":10.439414322674056,"endHours":12.035259513198742,"quality":"auspicious"},{"name":"Roga","start":"12:02","end":"13:38","startHours":12.035259513198742,"endHours":13.631104703723427,"quality":"inauspicious"},{"name":"Udveg","start":"13:38","end":"15:14","startHours":13.631104703723427,"endHours":15.226949894248113,"quality":"inauspicious"},{"name":"Chala","start":"15:14","end":"16:49","startHours":15.226949894248113,"endHours":16.8227950847728,"quality":"neutral"},{"name":"Labha","start":"16:49","end":"18:25","startHours":16.8227950847728,"endHours":18.418640275297484,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:25","end":"19:49","startHours":18.418640275297484,"endHours":19.8227950847728,"quality":"inauspicious"},{"name":"Chala","start":"19:49","end":"21:14","startHours":19.8227950847728,"endHours":21.22694989424811,"quality":"neutral"},{"name":"Labha","start":"21:14","end":"22:38","startHours":21.22694989424811,"endHours":22.631104703723427,"quality":"auspicious"},{"name":"Amṛta","start":"22:38","end":"00:02","startHours":22.631104703723427,"endHours":24.035259513198742,"quality":"auspicious"},{"name":"Kāla","start":"00:02","end":"01:26","startHours":24.035259513198742,"endHours":25.439414322674054,"quality":"inauspicious"},{"name":"Śubha","start":"01:26","end":"02:51","startHours":25.439414322674054,"endHours":26.84356913214937,"quality":"auspicious"},{"name":"Roga","start":"02:51","end":"04:15","startHours":26.84356913214937,"endHours":28.247723941624685,"quality":"inauspicious"},{"name":"Udveg","start":"04:15","end":"05:39","startHours":28.247723941624685,"endHours":29.6518787511,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:39","end":"06:39","startHours":5.651878751099998,"endHours":6.651878751099998,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:39","end":"07:39","startHours":6.651878751099998,"endHours":7.651878751099998,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:39","end":"08:39","startHours":7.651878751099998,"endHours":8.651878751099998,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:39","end":"09:39","startHours":8.651878751099998,"endHours":9.651878751099998,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:39","end":"10:39","startHours":9.651878751099998,"endHours":10.651878751099998,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:39","end":"11:39","startHours":10.651878751099998,"endHours":11.651878751099998,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:39","end":"12:39","startHours":11.651878751099998,"endHours":12.651878751099998,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:39","end":"13:39","startHours":12.651878751099998,"endHours":13.651878751099998,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:39","end":"14:39","startHours":13.651878751099998,"endHours":14.651878751099998,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:39","end":"15:39","startHours":14.651878751099998,"endHours":15.651878751099998,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:39","end":"16:39","startHours":15.651878751099998,"endHours":16.6518787511,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:39","end":"17:39","startHours":16.6518787511,"endHours":17.6518787511,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:39","end":"18:39","startHours":17.6518787511,"endHours":18.6518787511,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:39","end":"19:39","startHours":18.6518787511,"endHours":19.6518787511,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:39","end":"20:39","startHours":19.6518787511,"endHours":20.6518787511,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:39","end":"21:39","startHours":20.6518787511,"endHours":21.6518787511,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:39","end":"22:39","startHours":21.6518787511,"endHours":22.6518787511,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:39","end":"23:39","startHours":22.6518787511,"endHours":23.6518787511,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:39","end":"00:39","startHours":23.6518787511,"endHours":24.6518787511,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:39","end":"01:39","startHours":24.6518787511,"endHours":25.6518787511,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:39","end":"02:39","startHours":25.6518787511,"endHours":26.6518787511,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:39","end":"03:39","startHours":26.6518787511,"endHours":27.6518787511,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:39","end":"04:39","startHours":27.6518787511,"endHours":28.6518787511,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:39","end":"05:39","startHours":28.6518787511,"endHours":29.6518787511,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Chatra","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.5729860106025875,"eotMinutes":14.442429208075392,"ayanamsa":25.3446}},"calendars":{"vikram_samvat":2163,"vikram_samvatsara":"Pramāthi","saka_samvat":2028,"saka_samvatsara":"Akṣaya","bengali_samvat":1513,"malayalam_era":1282,"nanakshahi_year":637,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Pūrṇimā · Vikram 2163 Pramāthi · Śaka 2028 Akṣaya"},"festivals":[{"id":"sharad-purnima","name":"Śarad Pūrṇimā / Kojāgarī Pūrṇimā","name_sanskrit":"शरद पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Lakṣmī","significance":"Krishna's Mahā-rāsa with the gopīs at Vṛndāvana. Lakṣmī wakes (\"ko jāgartti?\")","vrata":true,"primary_observance":"Night-long jāgaraṇa; offering of pāyasa under moonlight","detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2,"sources":["Bhāgavata 10.29-33"]},{"id":"rasa-purnima","name":"Rāsa Pūrṇimā (Vraja Mahā-Rāsa)","name_sanskrit":"रास पूर्णिमा","tradition":"Vaishnava","associated_deity":"Krishna + Gopīs","significance":"Krishna's Mahā-rāsa with the gopīs at Vraja (Bhāgavata 10.29-33). Same as Śarad Pūrṇimā but emphasized in Vraja tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":2},{"id":"valmiki-jayanti","name":"Mahārṣi Vālmīki Jayantī","name_sanskrit":"महर्षि वाल्मीकि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Maharṣi Vālmīki (ādi-kavi)","significance":"Composer of Vālmīki Rāmāyaṇa. Āśvina Pūrṇimā tradition.","vrata":false,"detection":{"tithi_number":15,"tithi_paksha":"Śukla","lunar_month":"Āśvina"},"precedence":3}],"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":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Śukla Pūrṇimā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Śukla Pūrṇimā","url":"/day/-0562-04-11","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 October 13, 2106 CE · Perth, Australia · Vidhyamitra","description":"October 13, 2106 CE for Perth, Australia: Śukla Pūrṇimā, sūryodaya 05:39, sūryāsta 18:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/2106-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/2106-10-13","sa":"https://sa.vidhyamitra.com/city/perth/2106-10-13","hi":"https://hi.vidhyamitra.com/city/perth/2106-10-13","x-default":"https://vidhyamitra.com/city/perth/2106-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T15:45:47.759Z","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":"2026-06-01T15:45:47.759Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T15:45:47.759Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}